Converting Decimals to

Fractions

Goal: use place values to make fractions

It is divisible by

ONLY IF…

2 Its an even number ends in 2, 4, 6, 8, 0

3 The sum of the digits is divisible by 3

4 The last two digits of the number are divisible by 4

5 It ends in 0 or 5

6 The number divisible by 2 and 3

9 The sum of the digits is divisible by 9

10 The number ends in 0

Divisibility Rules

Convert Decimals to Fractions

Place the number after the decimal as the numeratorThe denominator depends on the place value of the last digitSimplify if needed. Use divisibility rules to simplify!!!!

Ex 1 0.4

Ex 2 0.55

Ex 3 0.075

Ex 4 1.50

Ex 5 12.2

Ex 6 8.016

Ex 7 21.5

Ex 8 7.42

Ex 9 4.125

Ex 10 5.019

Converting Improper

Fractions to Decimals

Changing Improper Fractions to Decimals

Follow same steps: Divide, add decimal and 2 zeros, and keep dividing until you have 3 digits after the decimalYour answer will have a whole number!!

Ex 1

Ex 2

Ex 3

Ex 4

Ex 5