Converting Decimals to Fractions

Show your work for each problem.

1.
What is as a fraction in lowest terms?
1. a)
2. b)
3. c)
4. d)
Answer:
after dividing both by 5. Note that , not 0.5.
2.
Convert to a fraction in lowest terms. Write your answer as a/b (e.g., 1/4).
Answer: 1/4
. The GCF of 25 and 100 is 25.
3.
How many decimal places does have?
1. a)1
2. b)3
3. c)2
4. d)4
Answer: 3
has 3 decimal places (3, 7, 5), so the denominator will be (three zeros).
4.
Convert to a fraction in lowest terms.
Answer: 2/5
1. The 4 is in which place value? tenths
2. What denominator should you use? 10
3. What is the GCF of 4 and 10? 2
4. What is 4/10 simplified? 2/5
5.
Convert to a fraction in lowest terms. Write your answer as a/b.
Answer: 4/5
. GCF of 8 and 10 is 2.
6.
What is as a fraction in lowest terms?
1. a)
2. b)
3. c)
4. d)
Answer:
. GCF of 75 and 100 is 25. . Note: also equals but is not in lowest terms.
7.
Convert to a fraction in lowest terms.
Answer: 1/8
1. How many decimal places are there? 3
2. What denominator should you use? 1000
3. What is the GCF of 125 and 1000? 125
4. What is 125/1000 simplified? 1/8
8.
Convert to a fraction in lowest terms. Write your answer as a/b.
Answer: 1/20
has 2 decimal places, so . GCF of 5 and 100 is 5.
9.
Convert to a fraction in lowest terms.
Answer: 3/8
1. Write 0.375 as a fraction over 1000 375/1000
2. What is the GCF of 375 and 1000? 125
3. Divide 375 by 125 3
4. What is the simplified fraction? 3/8
10.
Which fraction is NOT equivalent to ?
1. a)
2. b)
3. c)
4. d)
Answer:
, not . The others: , , . Watch the place value!
11.
Convert to a fraction in lowest terms. Write your answer as a/b.
Answer: 7/20
. GCF of 35 and 100 is 5.
12.
Convert to a mixed number in lowest terms.
Answer: 1 3/4
1. What is the whole number part? 1
2. What is the decimal part? 0.75
3. Convert 0.75 to a fraction 75/100
4. Simplify 75/100 3/4
5. Write the complete mixed number 1 3/4
13.
Convert to a fraction in lowest terms. Write your answer as a/b.
Answer: 5/8
. GCF is 125.
14.
Convert to a mixed number in lowest terms.
Answer: 2 9/20
1. What is the whole number part? 2
2. Convert 0.45 to a fraction over 100 45/100
3. What is the GCF of 45 and 100? 5
4. What is 45/100 simplified? 9/20
5. Write the final answer 2 9/20
15.
Which decimal is equivalent to ?
1. a)
2. b)
3. c)
4. d)
Answer:
. This fraction cannot be simplified because 17 is prime.
16.
Convert to a fraction in lowest terms. Write your answer as a/b.
Answer: 7/8
. GCF is 125.
17.
A recipe calls for cups of flour. Convert this to a mixed number in lowest terms.
Answer: 3 1/8
1. What is the whole number part? 3
2. Convert 0.125 to a fraction 125/1000
3. What is the GCF of 125 and 1000? 125
4. Simplify 125/1000 1/8
5. Write the final mixed number 3 1/8