Converting Repeating Decimals to Fractions

Converting Repeating Decimals to Fractions

By the end of the lesson, ​you will be able to apply the algorithm for converting repeating decimals to fractions using mathematical reasoning and problem solving.

​Repeating Decimals to Fractions

• ​Watch the video

• ​Record the examples on your guided notes page as you watch

• ​Ask questions if you don't understand!!

Fill in the Blanks

Write as a decimal:

$\frac{4}{5}$  

Fill in the Blanks

What number is used as the denominator when repeating decimals are converted to fractions? (Hint: See a line, write a ... )

Fill in the Blanks

Write the decimal as an equivalent fraction.

Fill in the Blanks

Convert 0.252525... to a fraction.

Multiple Select

Select all equivalent fractions.

• 3/10

• 1/3

• 3/9

• 30/99

Fill in the Blanks

Convert the following decimal to a fraction in simplest form. 0.6

Fill in the Blanks

Convert the following decimal to a fraction in simplest form. 0.79

Poll

How well did you understand this lesson?