Fractions to Decimals and Decimals to Fractions

Changing fractions to decimals; decimals to fractions

This will have a quiz that will be found in course documents. This and the quiz need to be completed in order to receive full credit.

Converting decimals to fractions

Remember the place value chart for decimals when you work through these slides.

Decimals --> Fractions

• To change 0.7 to a fraction: write the fraction with a denominator of 10, 100 or 1000.

•  $\frac{7}{10}$  The place value in 0.7 is the tenth place.

• Simplify the fraction if needed.  

Multiple Choice

Convert 0.25 to a fraction

• $$\frac{25}{10}$$

• $$\frac{25}{1000}$$

• $$\frac{25}{100}$$

Multiple Choice

Convert .056 to a fraction.

• $$\frac{56}{100}$$

• $$\frac{56}{1000}$$

• $$5\ \frac{6}{10}$$

Converting decimals with whole number

• The value 3.5 has only the 0.5 that will be turned into a fraction.

• The whole number 3 will remain.

How to convert 3.5 into a mixed number

• The 3 will stay and the 0.5 will be

   $\frac{5}{10}$  which will be simplified to  $\frac{1}{2}$  

• The changed value is 3 $\frac{1}{2}$  

Multiple Select

Which is the correct mixed number for 17.05

• 
  

  $$17\frac{1}{20}$$

• $$17\ \frac{5}{10}$$

Converting fractions to decimals

• Divide the numerator by the denominator of a fraction to change it to a decimal value

Multiple Select

Change  $$\frac{3}{4}$$  to a decimal value

• $$0.50$$  

• 0.75

Repeating values

• When converting a fraction to a decimal, there can be a value that is not a terminating value or one that shows repeating values

•  $\frac{11}{15}$  is an example of a value that shows a repeating answer.

• Look at the picture on the right to see a better example of a repeating decimal.

• When this happens, you need  round to the repeating number and to put a bar over the repeating value

Multiple Select

$$\ Which\ would\ be\ the\ correct\ representation\ for\ \frac{\ 6}{7}?$$  

• $$\overline{.857142}$$  

• $$.8\overline{57}$$  

This should help you when you return to course documents to complete the quiz on conversions. This quiz along with this lesson must both be complete in order to receive full credit.