ExamView Pro - Fraction Test.tst

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Name: ________________________ Class: ___________________ Date: __________
ID: A
Fractions
Short Answer
1. Write the decimal 2.47 as a fraction or mixed number.
2. Write the number
7
as a decimal.
8
3. Order the fractions and decimals from least to greatest.
0.88, 0.6,
4
5
6
4. Find two equivalent fractions for
14
.
5. Find the missing number that makes the fractions equivalent.
7
8
70
=
?
6. Write the fraction
2
8
in simplest form.
7. Compare the fractions. Write <, >, or =.
2
2
6
9
8. Mary Ann needs
3
1
9. Order 7 , 4 , and
10. Kunio used
19
3
1
3
5
8
cup of sugar to bake a cake. She has
1
4
cup. Will that be enough? Prove it.
from least to greatest.
gallons of paint to paint the outside of his house. Write
1
19
3
as a mixed number.
1
11. Annie used 8 2 yards of fabric to make new curtains. Write 8 2 as an improper fraction.
2
12. Write 5 3 as an improper fraction.
13. Peter surveyed his friends and family to see what they like to drink with breakfast. He found that
people like to drink grapefruit juice and
3
8
1
8
of the
of them like to drink orange juice. The rest prefer either milk or
coffee. What part of the people surveyed prefer grapefruit or orange juice with breakfast? Write your answer
in simplest form.
14. Subtract, and write the answer in simplest form.
3
3 13 –
2
13
19
15. Evaluate the expression for n = 1 20 . Write the answer in simplest form.
n–
1
20
1
Name: ________________________
ID: A
7
16. Multiply 2 • 9 . Write the answer as a mixed number in simplest form, if necessary.
1
17. Evaluate 5n for n = 3 . Write the answer as a mixed number in simplest form, if necessary.
18. A farmer collected 24 eggs from his henhouse one morning, and
2
3
of the eggs were brown. How many brown
eggs were there?
19. The Reynolds family saw 48 butterflies at an exhibit, and
2
3
of them were Monarch butterflies. How many of
the butterflies were Monarchs?
20. Multiply the following fractions, and simplify if possible.
2
•
3
5
8
21. Evaluate the expression x •
2
5
4
for x = 9 .
22. Multiply the following fractions, and simplify if possible.
1
17 ×
7
9
23. Multiply the following mixed numbers, and simplify if possible.
3
1
14 × 32
3
24. What is the reciprocal of 1 4 ?
25. Divide, and simplify if possible.
4
1
15 ÷ 13
2
ID: A
Fractions
Answer Section
SHORT ANSWER
1. ANS:
47
2 100
If there is a number to the left of the decimal, write that as the whole number. Write the decimal part as a
fraction over 100, and simplify.
REF: Page 167
OBJ: 4-4.1 Writing Decimals as Fractions or Mixed Numbers
STO: 1.03
TOP: 4-4 Decimals and Fractions
KEY: decimal, fraction, mixed number
NOT: /A/ Should the digits after the decimal point be the denominator?/B/ Correct! /C/ Is this an exact
answer, or did you round to just one decimal place? /D/ Are you sure about the whole number part of the
answer?
2. ANS:
0.875
To write a mixed number as a decimal, keep the whole number, and divide the numerator by the denominator
for the part to the right of the decimal point.
REF: Page 168
OBJ: 4-4.2 Writing Fractions as Decimals
STO: 1.03
TOP: 4-4 Decimals and Fractions
KEY: fraction, decimal
NOT: /A/ Should you add all of the digits? /B/ How do you write a fraction as a decimal? /C/ Should you
multiply all of the digits?/D/ Correct!
3. ANS:
4
0.6, 5 , 0.88
Write all of the numbers as decimals with the same number of places. Order the numbers from least to
greatest by comparing the digits from left to right.
REF: Page 168
OBJ: 4-4.3 Comparing and Ordering Fractions and Decimals
STO: 1.03
TOP: 4-4 Decimals and Fractions
KEY: fraction, decimal, compare, order
NOT: a/ Correct! /b/ Did you write each of the numbers as a decimal with the same number of places so you
could compare them? /c/ Does the problem ask for the numbers to be ordered from greatest to least? /d/ Did
you write each of the numbers as a decimal before trying to compare them?
4. ANS:
3
7
and
12
28
Multiply or divide the numerator and denominator by the same nonzero number.
REF: Page 172
OBJ: 4-5.1 Finding Equivalent Fractions STO: 1.03
TOP: 4-5 Equivalent Fractions
KEY: equivalent fraction
NOT: /A/ Correct! /B/ Did you multiply or divide both the numerator and denominator by the same number?
/C/ Did you confuse the numerator and denominator by inverting the fractions?/D/ Are these two fractions
equal to each other?
1
ID: A
5. ANS:
80
Multiply both the numerator and the denominator of the first fraction by the same number to obtain the
second fraction.
REF: Page 172
OBJ: 4-5.2 Multiplying and Dividing to Find Equivalent Fractions
STO: 1.03
TOP: 4-5 Equivalent Fractions
KEY: fraction, equivalent fraction, multiplication, division
NOT: /A/ Can this number be the same as it was in the first fraction if the other number has changed? /B/
Did you find the factor used to obtain the other number in the new fraction? Use it to find this number as
well. /C/ Did you multiply both the numerator and denominator by the same number to obtain the second
fraction?/D/ Correct!
6. ANS:
1
4
If the GCF of both the numerator and the denominator is 1, then the fraction is already in simplest form.
Otherwise, divide the numerator and denominator by the GCF to simplify it.
REF: Page 173
OBJ: 4-5.3 Writing Fractions in Simplest Form
STO: 1.03
TOP: 4-5 Equivalent Fractions
KEY: fraction, simplest form
NOT: /A/ Did you divide the numerator by the same number you used to simplify the denominator? /B/ Did
you divide the denominator by the same number you used to simplify the numerator? /C/ Correct! /D/ This
fraction is equivalent, but is it the simplest form?
7. ANS:
>
Compare the two fractions. Be sure to first write them with common denominators if they are unlike
fractions.
REF: Page 178
OBJ: 4-6.1 Comparing Like Fractions
STO: 1.03
TOP: 4-6 Comparing and Ordering Fractions
KEY: fraction, like fraction, compare
NOT: /A/ Correct! /B/ Did you write the fractions with common denominators and compare the numerators?
/C/ Did you write the fractions with common denominators and compare the numerators?
8. ANS:
no
Write the fractions with a common denominator and then compare the fractions.
REF:
STO:
KEY:
NOT:
Page 179
OBJ: 4-6.2 Application: Compare and Order Fractions
1.03
TOP: 4-6 Comparing and Ordering Fractions
fraction, compare, order
/A/ Did you write the fractions with a common denominator to compare them?/B/ Correct!
2
ID: A
9. ANS:
1
1
, 3,
4
First write the fractions so that they have a common denominator. Then order them from least to greatest by
comparing the numerators.
REF: Page 179
OBJ: 4-6.3 Ordering Fractions
STO: 1.03
TOP: 4-6 Comparing and Ordering Fractions
KEY: fraction, order
NOT: /A/ Correct! /B/ Did you compare the numerators of the fractions after writing them with common
denominators? /C/ Did you write the fractions with common denominators to compare them? /D/ Did you put
the fractions in order from least to greatest?
10. ANS:
1
63
Divide the numerator by the denominator. To form the fractional part of the quotient, use the remainder as
the numerator and the divisor as the denominator. Or use a model to find the answer.
REF: Page 182
OBJ: 4-7.1 Application: Write Improper Fractions as Mixed Numbers and Mixed Numbers as Improper
Fractions
STO: 1.03
TOP: 4-7 Mixed Numbers and Improper Fractions
KEY: improper fraction, mixed number
NOT: /A/ Did you double-check your calculations? Is the whole number correct?/B/ Correct! /C/ Do you
remember that the fraction bar means "divided by"? /D/ Did you use the correct numerator to perform your
calculations?
11. ANS:
17
2
Multiply the whole number by the denominator. Then add the numerator and write this sum over the
denominator. Or use a model to find the answer.
REF: Page 182
OBJ: 4-7.1 Application: Write Improper Fractions as Mixed Numbers and Mixed Numbers as Improper
Fractions
STO: 1.03
TOP: 4-7 Mixed Numbers and Improper Fractions
KEY: improper fraction, mixed number
NOT: /A/ Should you write the whole number in the numerator? /B/ Should the answer be the reciprocal of
the given fraction?/C/ Did you double-check your calculations? /D/ Correct!
12. ANS:
17
3
Multiply the denominator by the whole number, and then add the numerator. Write the result over the
denominator. Or use a model to find the answer.
REF: Page 183
OBJ: 4-7.2 Writing Mixed Numbers as Improper Fractions
STO: 1.03
TOP: 4-7 Mixed Numbers and Improper Fractions
KEY: improper fraction, mixed number
NOT: /A/ Correct! /B/ Did you add when you should have multiplied? /C/ How do you find the numerator of
the improper fraction?/D/ Should you add the whole number and the numerator to find the numerator of the
improper fraction?
3
ID: A
13. ANS:
1
2
Since the fractions have a common denominator, just add the numerators and simplify if necessary.
REF: Page 188
OBJ: 4-8.1 Application: Add or Subtract Fractions with Like Denominators
STO: 1.04
TOP: 4-8 Adding and Subtracting with Like Denominators
KEY: fraction, addition, subtraction, like denominators
NOT: /A/ Correct! /B/ Did you subtract instead of adding? /C/ Did you remember to add the numerators and
keep the denominator? /D/ Did you remember to add the numerators? Should you add the denominators
together?
14. ANS:
1
3 13
Subtract the numerators of the fractions and write the result over the common denominator. Then subtract the
whole numbers, and simplify if necessary.
REF: Page 188
OBJ: 4-8.2 Subtracting Like Fractions and Mixed Numbers
STO: 1.04, 5.02
TOP: 4-8 Adding and Subtracting with Like Denominators
KEY: fraction, like fraction, mixed number, subtraction
NOT: /A/ Did you remember the rules for subtracting fractions? Subtract the numerators and keep the
denominator. /B/ Correct! /C/ Did you subtract the fractions or add them? /D/ Did you remember that you
keep the common denominator when subtracting fractions?
15. ANS:
9
1 10
Substitute for the variable, add or subtract the numerators, and write the result over the common
denominator. When applicable add the whole numbers. Reduce if necessary.
REF: Page 189
OBJ: 4-8.3 Evaluating Expressions with Fractions
STO: 1.04
TOP: 4-8 Adding and Subtracting with Like Denominators
KEY: fraction, expression
NOT: /A/ Correct! /B/ Did you perform the correct operation? Also, what do you do with the denominator
when adding and subtracting fractions?/C/ Did you subtract the fractions or add them? /D/ Do you remember
the rules for adding and subtracting fractions?
16. ANS:
5
19
Write the whole number as a fraction. Multiply numerators and denominators. Write the answer in simplest
form.
REF: Page 192
OBJ: 4-9.1 Multiplying Fractions and Whole Numbers
STO: 1.04
TOP: 4-9 Multiplying Fractions by Whole Numbers
KEY: fraction, multiplication
NOT: /A/ Correct! /B/ Did you multiply the whole number by the numerator, or did you add them together?
/C/ Did you write the whole number as a fraction over 1 and then multiply the numerators and the
denominators? /D/ Did you multiply the whole number by the fraction, or did you add them together?
4
ID: A
17. ANS:
2
13
Substitute for the variable. Write the whole number as a fraction. Multiply numerators and denominators.
Write the answer in simplest form.
REF: Page 192
OBJ: 4-9.2 Evaluating Fraction Expressions
STO: 5.02
TOP: 4-9 Multiplying Fractions by Whole Numbers
KEY: fraction, expression
NOT: /A/ Did you multiply the whole number by the numerator, or did you add them together? /B/ Correct!
/C/ Did you multiply the whole number by the fraction, or did you add them together?/D/ Did you write the
whole number as a fraction over 1 and then multiply the numerators and the denominators?
18. ANS:
16
Multiply the fraction by the whole number by writing the whole number over 1 and then multiplying the
numerators and the denominators. Simplify if possible.
REF: Page 193
OBJ: 4-9.3 Application: Multiply Fractions by Whole Numbers
STO: 1.04
TOP: 4-9 Multiplying Fractions by Whole Numbers
KEY: fraction, multiplication
NOT: /A/ Did you subtract the numerator from the whole number instead of multiplying them? /B/ Did you
write the whole number as a fraction over 1 and then multiply the numerators and the denominators? /C/ Did
you double-check your calculations?/D/ Correct!
19. ANS:
32
Multiply the fraction by the whole number by writing the whole number over 1 and then multiplying the
numerators and the denominators. Simplify if possible.
REF: Page 193
OBJ: 4-9.3 Application: Multiply Fractions by Whole Numbers
STO: 1.04
TOP: 4-9 Multiplying Fractions by Whole Numbers
KEY: fraction, multiplication
NOT: /A/ Did you double-check your calculations?/B/ Did you write the whole number as a fraction over 1
and then multiply the numerators and the denominators? /C/ Why did you subtract the numerator from the
whole number instead of multiplying them? /D/ Correct!
20. ANS:
5
12
Multiply the fractions by multiplying the numerators and multiplying the denominators, and then simplify if
possible.
REF: Page 212
OBJ: 5-1.1 Multiplying Fractions
STO: 1.04
TOP: 5-1 Multiplying Fractions
KEY: fraction, multiplication
NOT: /A/ Are you supposed to be dividing the fractions?/B/ Are you supposed to be adding the fractions?
/C/ Is this how you multiply fractions? /D/ Correct!
5
ID: A
21. ANS:
8
45
Multiply the fractions by multiplying the numerators and multiplying the denominators, and then simplify if
possible.
REF: Page 213
OBJ: 5-1.2 Evaluating Fraction Expressions
STO: 5.02
TOP: 5-1 Multiplying Fractions
KEY: fraction, expression, evaluate
NOT: /A/ Correct! /B/ Is this how you multiply fractions? /C/ Are you supposed to be dividing the
fractions?/D/ Are you supposed to be adding the fractions?
22. ANS:
8
9
First write any mixed numbers as improper fractions, and then multiply the numerators and multiply the
denominators. Simplify if possible.
REF: Page 216
OBJ: 5-2.1 Multiplying Fractions and Mixed Numbers
STO: 1.04
TOP: 5-2 Multiplying Mixed Numbers
KEY: fraction, mixed number, multiplication
NOT: /A/ Are you supposed to be adding the fractions? /B/ Are you performing the correct operation?/C/ Is
this how you multiply fractions? /D/ Correct!
23. ANS:
1
68
First write the mixed numbers as improper fractions, and then multiply the numerators and multiply the
denominators. Simplify if possible.
REF: Page 217
OBJ: 5-2.2 Multiplying Mixed Numbers STO: 1.04
TOP: 5-2 Multiplying Mixed Numbers
KEY: mixed number, multiplication
NOT: /A/ Is this how you multiply fractions? /B/ Correct! /C/ Are you supposed to be adding the fractions?
/D/ Are you performing the correct operation?
24. ANS:
4
7
A number multiplied by its reciprocal equals 1.
REF: Page 222
OBJ: 5-3.1 Finding Reciprocals
STO: 1.04
TOP: 5-3 Dividing Fractions and Mixed Numbers
KEY: reciprocal, fraction
NOT: /A/ Did you calculate the reciprocal properly?/B/ Does this multiplied by the original number equal 1?
/C/ Correct! /D/ Is your math correct?
6
ID: A
25. ANS:
7
1 20
To divide fractions, first write any mixed numbers as improper fractions, and then multiply the first fraction
by the reciprocal of the second fraction. Simplify if possible.
REF: Page 223
OBJ: 5-3.2 Using Reciprocals to Divide Fractions and Mixed Numbers
STO: 1.04
TOP: 5-3 Dividing Fractions and Mixed Numbers
KEY: reciprocal, fraction, division
NOT: /A/ Correct! /B/ Are you using the reciprocal at the right time?/C/ Are you performing the correct
operation? /D/ Did you use the reciprocal of the right fraction?
7

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