By: Anthony Garman Chris Mann

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Presentation transcript:

By: Anthony Garman Chris Mann Dividing Fractions By: Anthony Garman Chris Mann

Dividing fractions Dividing fractions can be a little tricky. It's the only operation that requires using the reciprocal. Using the reciprocal simply means you flip it over, or invert it. For example, the reciprocal of 2/3 is 3/2. After we give you the rule, we will attempt to explain WHY you have to use the reciprocal in the first place. But for now... Here's the Rule for division... To divide fractions, convert the division process to a multiplication process by using the following steps. Change the "÷" sign to "x" and invert the fraction to the right of the sign. Multiply the numerators. Multiply the denominators. Re-write your answer in its simplified or reduced form, if needed Once you complete Step #1 for dividing fractions, the problem actually changes from division to multiplication. 1/2 ÷ 1/3 = 1/2 x 3/1 1/2 x 3/1 = 3/2 Simplified Answer is 1 1/2

Examples Example: Divide 2/9 and 3/12 Invert the denominator fraction and multiply (2/9 ÷ 3/12 = 2/9 * 12/3) Multiply the numerators (2*12=24) Multiply the denominators (9*3=27) Place the product of the numerators over the product of the denominators (24/27) Simplify the Fraction (24/27 = 8/9) The Easy Way. After inverting, it is often simplest to "cancel" before doing the multiplication. Cancelling is dividing one factor of the numerator and one factor of the denominator by the same number. For example: 2/9 ÷ 3/12 = 2/9*12/3 = (2*12)/(9*3) = (2*4)/(3*3) = 8/9

examples Example 1 1÷124 Step 1. Turn the second fraction upside-down (the reciprocal): 1 441 Step 2. Multiply the first fraction by the reciprocal of the second: 1×4=1 × 4=4212 × 12 Step 3. Simplify the fraction: 4=22 (If you are unsure of the last step see the equivalent fractions page)