Fractions to Decimal & Decimals to Fractions

Fractions to Decimals

How do we convert a fraction to a decimal?

All Fractions are Division problems!

​You can also use a calculator and input 3 ÷ 4 =

Using Long Division

How could we show our work for 2/5?

Using Long Division

Using Long Division

Now you try!

Using long division or a calculator to convert each fraction to decimal form.

If the decimal is less than 1, put a 0 as a place holder in the ones place. Make sure to include the negative if it is a negative value!

​Lets Practice Together !

Multiple Choice

If you wanted to convert 8/9 to a decimal, what would be the first step?

• Place an 8 on the right side of the decimal point
• Divide 8 by 9
• Divide 9 by 8
• Place a 9 on the right side of the decimal point

Multiple Choice

Which TWO calculations are correct for converting 5⁄8 to a decimal?

• A + C

• A + D

• B + C

• B + D

Multiple Choice

$$\frac{14}{25}\ =$$  

• 0.65

• 0.56

• 0.14

• 0.25

Multiple Choice

The library is   $$\frac{24}{25}$$  mile away from Jose’s home. Express this distance as a decimal

• 0.25

• 0.24

• 0.96

• 0.69

Multiple Choice

What is 0.73 written as a fraction?

• 73/100
• 37/50
• 7/10
• 73/10

Multiple Choice

Change to a fraction:

0.391

• 391/1000

• 391/100

• 3/91

• 391

Multiple Choice

Change to a fraction:
0.18

• 18/50
• 9/50
• 17/50
• 18

Multiple Choice

Write the decimal as a mixed number

in simplest form

1.6

• $$\frac{1}{6}$$
  

• $$1\ \frac{1}{6}$$
  

• $$1\ \frac{3}{5}$$
  

Multiple Choice

Write the decimal as a mixed number

in simplest form

4.39

• 
  

  $$4\ \frac{39}{100}$$
  

• $$\frac{4}{39}$$