1. Writing Decimals as Fractions
Lesson 4-7

2. To write a finite decimal as a fraction, identify the place value of the farthest digit to the right. Then write all of the digits after the decimal points as the numerator with the place value as the denominator.

3. Simplify by dividing by the common factor 2. 4 5
Additional Example 2A: Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
A. 0.8 8 10 =
0.8
8 is in the tenths place.
Simplify by dividing by the common factor 2. = 4 5

4. Additional Example 2B: Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
B. 5.37
37 100
= 5
5.37
7 is in the hundredths place.

5. 2 is in the thousandths place. 0.622
Additional Example 2C: Writing Decimals as Fractions
Write the decimal as a fraction in simplest form. C =
2 is in the thousandths place.
0.622
Simplify by dividing by the common factor 2. =

6. Simplify by dividing by the common factor 2.
Try This: Example 2A
Write the decimal as a fraction in simplest form.
A. 0.4 4 10 =
0.4
4 is in the tenths place. = 2 5
Simplify by dividing by the common factor 2.

7. 5 is in the hundredths place.
Try This: Example 2B
Write the decimal as a fraction in simplest form.
B. 8.75
75 100
= 8
8.75
5 is in the hundredths place.
= 8
3 4
Simplify by dividing by the common factor 25.

8. 5 is in the ten-thousandths place. 0.2625
Try This: Example 2C
Write each decimal as a fraction in simplest form. C.
0.2625
,000 =
5 is in the ten-thousandths place.
0.2625 =
21 80
Simplify by dividing by the common factor 125.