Multiplication and Division of Fractions

 Multiplication of fractions is the process of multiplying the numerators (top two numbers) by each other, and the same with the denominators. A visual of take the fraction is as follows...

Another visual of multiplication of fractions is as follows...



The multiplication of improper fractions is displayed below...

The division of fractions has one more step than multiplication. The second fraction needs to flip and the sign needs to be changed into a multiplication sign as follows...

Properties of Fractions:

Closure: fraction x fraction = fraction

Commutative: A/B x C/D = C/D x A/B

Associative: (A/B x C/D) x E/F = A/B x (C/D x E/F)

Identity: A/B x 1 = A/B x 1/1 = A/B

Distributive: A/B ( C/D + or - E/F) = A/B x C/D + or - A/B x E/F

Inverse: A/B  B does not equal zero. B/A so that A/B x B/A = 1

 Properties of Fractions Game

Decimal Place Values:

Repeating Decimals:

Conversions:

• Decimals into Fractions Extra Practice