Lesson 4-7. To write a finite decimal as a fraction, identify the place value of the farthest digit...

$: Lesson 4-7. To write a finite decimal as a fraction, identify the place value of the farthest digit to the right. Then write all of the digits after the.$
Writing Decimals as Fractions

Lesson 4-7

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.

0.8

A. 0.8

8 is in the tenths place.

Simplify by dividing by the common factor 2.

8 10

=

= 45

Additional Example 2A: Writing Decimals as Fractions

Write the decimal as a fraction in simplest form.

5.37

B. 5.37

7 is in the hundredths place.37 100

= 5

Additional Example 2B: Writing Decimals as Fractions


0.622

C. 0.622

2 is in the thousandths place.

622 1000

=

= 311 500


Additional Example 2C: Writing Decimals as Fractions


0.4

A. 0.4

4 is in the tenths place.


4 10

=


Try This: Example 2A

= 25

8.75

B. 8.75

5 is in the hundredths place.75 100

= 8

= 8 3 4



Try This: Example 2B

0.2625

0.2625

5 is in the ten-thousandths place.

2625 10,000

=

= 21 80


C.

Write each decimal as a fraction in simplest form.

Try This: Example 2C

Lesson 4-7. To write a finite decimal as a fraction, identify the place value of the farthest digit...

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