Dividing with Fractions. Vocabulary Reciprocals – number pairs that have a product of 1. Here are a few: 3 x 5 = 15 1 5 x 1 = 5 1 5 3 15 5 5 2 ⅟₂ x ⅖.

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Presentation transcript:

Dividing with Fractions

Vocabulary Reciprocals – number pairs that have a product of 1. Here are a few: 3 x 5 = x 1 = ⅟₂ x ⅖ ⁵⁄₂ x ⅖ = 10/10 1

Vocabulary Dividend - the number to be divided 25 ÷ 5 The number that goes inside the dog house Divisor - is the number doing the dividing 25 ÷ 5 The number outside the dog house

There are five types of dividing problems Whole number ÷ Fraction Fraction ÷ Whole number Fraction ÷ Fraction Mixed number ÷ Fraction Mixed number ÷ Mixed number

Whole number ÷ Fraction How do we solve these types of problems? 6 ÷ ⅝ = ? Steps: 1)Write the whole number as a fraction. 6 ÷ 5 1 8

Whole number ÷ Fraction Steps continued: 2) Multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor). 6 ÷ 5 6 x 8 = ) Convert the improper fraction into a mixed number. Simplify if you need to. 48 ÷ 5 = 9 ⅗

Fraction ÷ Whole number How do we solve these types of problems? ¾ ÷ 2 = ? Steps: 1)Write the whole number as a fraction. 3 ÷ 2 4 1

Fraction ÷ Whole number Steps continued: 2) Multiply by the reciprocal of the second fraction (divisor). 3 ÷ 2 3 x 1 = ) Simplify your answer if you need to.

Fraction ÷ Fraction How do we solve these types of problems? ¾ ÷ ⅜ = ? Steps: 1)Leave the first fraction (dividend) as it is. Flip the second fraction, which makes it a reciprocal. Multiply these fractions. Simplify! ¾ ÷ ⅜ ¾ x ⁸⁄₃ = 24/12 = 2

Mixed number ÷ Fraction How do we solve these types of problems? You create your own problem and follow these steps to solve. Steps: 1)Convert the mixed number into an improper fraction. 2)Flip the second fraction, make the reciprocal. 3)Multiply, then simplify.

Mixed number ÷ Mixed number How do we solve these types of problems? You create your own problem and follow these steps to solve. Steps: 1)Convert both fractions into improper fractions. 2)Leave the first fraction alone, and flip the second one. This is creating the reciprocal for the second fraction.

Mixed number ÷ Mixed number Steps continued: 3) Multiply (numerator x numerator) and (denominator x denominator). 4) Simplify using any method that you choose!

ANY QUESTIONS???