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.

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

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.

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. 0.622 622 1000 = 2 is in the thousandths place. 0.622 Simplify by dividing by the common factor 2. = 311 500

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.

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.

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 2625 10,000 = 5 is in the ten-thousandths place. 0.2625 = 21 80 Simplify by dividing by the common factor 125.