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Reciprocals I can… find reciprocals of fractions, whole numbers, and mixed numbers. 7676 6767 1515 2 9 4 38 9 5

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What is a reciprocal? Webster’s dictionary defines the word as “done, given, or felt equally on both sides”. Examples: The two countries made a reciprocal trade agreement. The two business partners had a reciprocal friendship based on respect for each other.

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But what does the word reciprocal mean in math? multiply 1 A reciprocal in math is a number you multiply by so that the result is 1. product reciprocal pairs Two numbers whose product is 1 are called reciprocal pairs.

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product 1 Let’s look at some reciprocal pairs. Notice how when we multiply them, the product is 1. 5 and 1/5 26 and 1/26 1/9 and 9

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product 1 Here’s more examples of reciprocal pairs. Again, notice how when we multiply them, the product is 1. 2/3 and 3/2 4/15 and 15/4 8/3 and 3/8

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product 1! One last look at reciprocal pairs. You’re catching on!!! The product is 1! 2 ½ and 2/5 6 ⅗ and 5/33 7 ⅔ and 3/23

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reciprocals So, now that you know what reciprocals are – how do you find the reciprocal of a number? It’s so easy!!! When you hear reciprocal – RE-FLIP-RO-CAL!!! think RE-FLIP-RO-CAL!!!

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You think because you simply the fraction to get the reciprocal!

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Let’s practice finding the refliprocal – uh, I mean reciprocal – of some numbers. 4 15 1 6

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Some more – 26 9 4 31

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What if it’s a whole number? Write the whole number as a fraction, then FLIP it! 7 33 whole number written as a fraction reciprocal

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If it’s a whole number, write the whole number as a fraction, then FLIP it! 16 57 whole number written as a fraction reciprocal

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Let’s review what we’ve learned so far. Write the reciprocal for each fraction or whole number. 2/55/2 4 1/22/1 or 2 6/10 1/3 10/6 3/1 or 3 1/4 12 55 47 1/12 1/55 1/47

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Let’s review what we’ve learned so far. Find the missing fraction for each number sentence. 4949 x = 1? 13 1 x ? =

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Let’s review what we’ve learned so far. Find the missing fraction for each number sentence. 1515 x = 1? 70 1 x ? =

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There’s one more part to today’s lesson— reciprocal mixed number What to do when finding the reciprocal of a mixed number ? Write the mixed number as an improper fraction Flip the improper fraction 5 ⅓ = 16 3 Now FLIP the improper fraction: 3 16 reciprocal

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Let’s practice finding the refliprocal of some mixed numbers. 10 6 1 8 2 7 3 5 4 Improper Fraction: Reciprocal

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Let’s practice finding the refliprocal of some mixed numbers. 30 4 1 3 2 20 7 2 1 Improper Fraction: Reciprocal

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Let’s review what we’ve learned so far. Find the missing fraction for each number sentence. 1 5 x = 1? 7 1 x ? = 4 3 10

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Dividing Fractions. Steps for Dividing Fractions If there are mixed numbers, change them to improper fractions first. KEEP the first fraction CHANGE.

Dividing Fractions. Steps for Dividing Fractions If there are mixed numbers, change them to improper fractions first. KEEP the first fraction CHANGE.

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