How do you convert between decimals and fractions?

1. How do you convert between decimals and fractions?

2. 1 1 3 1 1 __ __ __ __ __ 1 1 2 2 1 4 2 4 2 4 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. 3 __ 4 Mixed numbers 12 34 14

3. 67 ____ Remember! 100 Place Value Hundredths Thousandths Ones Tenths Example: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 0.67 0.67 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator.

4. 9 ___ 10 Example: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 5.9 5.9 Identify the place value of the digit farthest to the right. 5 Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.

5. 73 ____ 100 Example Write each decimal as a fraction or mixed number. 0.73 0.73 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator.

6. 8 ___ 10 Example Write each decimal as a fraction or mixed number. 4.8 4.8 Identify the place value of the digit farthest to the right. 4 Write the whole number, 4. The 8 is in the tenths place, so use 10 as the denominator.

7. 3 3 ____ ____ 20 20 Example: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 0 .1 5 Divide 3 by 20. 20 3 .00 Add zeros after the decimal point. - 20 100 - 100 The remainder is 0. 0 = 0.15

8. Writing Math To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6

9. 1 1 __ __ 3 3 _ 6.333… = 6.3 Example: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 6 0 .3 3 3 Divide 1 by 3. .000 3 1 Add zeros after the decimal point. - 9 10 The three repeats in the quotient. - 9 10 - 9 1 6 =

10. 5 5 ____ ____ 20 20 Example Write each fraction or mixed number as a decimal. 0 .2 5 Divide 5 by 20. .00 20 5 Add zeros after the decimal point. - 40 100 - 100 The remainder is 0. 0 = 0.25

11. 2 2 __ __ 3 3 _ 7.666… = 7.6 Example Write each fraction or mixed number as a decimal. 7 0 .6 6 6 Divide 2 by 3. .000 3 2 Add zeros after the decimal point. - 18 20 The six repeats in the quotient. - 18 20 - 18 2 7 =

12. 6 3 3 6 __ ____ __ 25 5 4 Lesson Practice Quiz Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75 Write each fraction or mixed number as a decimal. 3. 2 4. 7 0.875 2.6 __ 8