Name ____________________________
Date ____________________
Period: ________
CONVERTING FRACTIONS AND DECIMALS - REFERENCE
CONVERTING DECIMALS TO FRACTIONS
1) Look at the last spot of the number to find its place value
2) Turn it into a fraction with the number as the numerator and the place value as your
denominator
3) Reduce to simplest form
EXAMPLES:
7
1) 0.7 = 10 𝑏𝑒𝑐𝑎𝑢𝑠𝑒 𝑡ℎ𝑒 7 𝑖𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑡𝑒𝑛𝑡ℎ𝑠 𝑝𝑙𝑎𝑐𝑒
26
2) 0.26 = 100 𝑏𝑒𝑐𝑎𝑢𝑠𝑒 𝑡ℎ𝑒 6 𝑖𝑠 𝑖𝑛 𝑡ℎ𝑒 ℎ𝑢𝑛𝑑𝑟𝑒𝑑𝑡ℎ𝑠 𝑝𝑙𝑎𝑐𝑒
125
3) 0.125 = 1000 𝑏𝑒𝑐𝑎𝑢𝑠𝑒 𝑡ℎ𝑒 5 𝑖𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑡ℎ𝑜𝑢𝑠𝑎𝑛𝑑𝑡ℎ𝑠 𝑝𝑙𝑎𝑐𝑒
CONVERTING FRACTIONS TO DECIMALS (DIVIDING NUMERATOR BY DENOMINATOR)
1) Sometimes a fraction cannot be made equivalent with a denominator of 100. In that
case you must:
2) Divide the numerator by the denominator (top number inside the house)
3) Move the decimal of your product over two places to the right
 EXAMPLE:
𝟕
𝟖
.875
8 ) 7.000
-64
60
-56
40
-40
.875 = 87.5%