Multiplying and Dividing Fractions

Adding and Subtracting Fractions We can add and subtract fractions with the same (common) denominator easily. 3 5 1 5 4 5 + =

Multiplying Fractions When multiplying fractions, we do not need to have common denominators. 3 5 1 3 x = These do not have to be the same!

Multiplying Fractions To multiply fractions, simply multiply the two numerators and the two denominators. x = 3 5 1 3 ? x =

Multiplying Fractions To multiply fractions, simply multiply the two numerators and the two denominators. x = 3 5 1 3 3 ? x =

Multiplying Fractions To multiply fractions, simply multiply the two numerators and the two denominators. 3 5 1 3 3 ? x = x =

Multiplying Fractions To multiply fractions, simply multiply the two numerators and the two denominators. 3 5 1 3 3 15 x = x =

Multiplying Fractions If possible, state in simplest form. 3 5 1 3 3 15 1 5 x = =

Mixed Numbers To multiply mixed numbers, convert them to improper fractions first. 1

Your Turn 1 3 x 3 4 5 1 𝟒 𝟏𝟓

1 3 3 1 Dividing Fractions The reciprocal of 1/3 is 3/1. To divide by a fraction, you must multiply by its reciprocal. To find its reciprocal, simply flip the fraction over! 1 3 3 1 The reciprocal of 1/3 is 3/1.

3 5 1 3 9 5 3 5 3 1 ÷ = x = Dividing Fractions Example: 3 5 1 3 ÷ = Multiply by the reciprocal… 9 5 3 5 3 1 x =

Your Turn 2 3 5 ÷ 1 4 𝟓𝟐 𝟓 or 10 𝟐 𝟓

Dividing Fractions Assignment