What is the process for converting a terminating decimal to a fraction?

Write the decimal digits as the numerator, use the matching power of 10 as the denominator, then simplify by dividing both by their GCF.

What determines how many zeros go in the denominator?

Count the decimal places. One place → 10, two places → 100, three places → 1000.

Every terminating and repeating decimal can. Non-terminating, non-repeating decimals (like π or √2) cannot — those are irrational numbers.

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Name:Date:Class:

1.Convert to a fraction:

2.4

2.Convert to a fraction:

0.4

3.Convert to a fraction:

2.25

4.Convert to a fraction:

2.75

5.Convert to a fraction:

0.125

6.Convert to a fraction:

1.25

7.Convert to a fraction:

0.25

8.Convert to a fraction:

1.5

9.Convert to a fraction:

1.5

10.Convert to a fraction:

1.2

11.Convert to a fraction:

2.8

12.Convert to a fraction:

1.2

13.Convert to a fraction:

2.875

14.Convert to a fraction:

0.5

15.Convert to a fraction:

0.625

16.Convert to a fraction:

2.75

17.Convert to a fraction:

2.5

18.Convert to a fraction:

1.5

19.Convert to a fraction:

2.75

20.Convert to a fraction:

2.9

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Problem: Convert 0.375 to a simplified fraction.

Count decimal places and write the fraction.— 0.375 has three places, so the denominator is 1000. Write 375/1000.
Find the GCF of 375 and 1000.— 375 = 3 × 5³, 1000 = 2³ × 5³. GCF = 5³ = 125.
Divide both by GCF.— 375 ÷ 125 = 3 and 1000 ÷ 125 = 8.

Answer: 3/8