Envision Math 2.0: Grade 6, Volume 1
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4. Understand Division With Fractions
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Exercise 27 Page 35

The product of a number and its reciprocal is 1.

10/3

Practice makes perfect
The product of any nonzero real number and its reciprocal is 1. x*1/x=1The reciprocal of a fraction is the inverse of that fraction. x/y*y/x=1 This means that the reciprocal of 310 is 103. Let's check that this is true by calculating the product.
3/10* 10/3? =1
3* 10/10* 3? =1
30/30? =1
1=1 âś“
The product of these two fractions is equal to 1 so we can be sure that 103 is a reciprocal of 310.