# Math

A certain recipe requires 6 2/7 cups of flour and 7 2/9 cups of sugar.
A) if 6/5 of the recipe is to be made, how much sugar is needed? Write your answer as a proper or improper fraction:
B) if the above ingredients are required for one batch, find the amount of flour needed for a double batch. Write your answer as a proper or improper fraction.

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1. A)

7 2 / 9 = 7 + 2 / 9 =

7 * 9 / 9 + 2 / 9 =

63 / 9 + 2 / 9 = 65 / 9

( 6 / 5 ) * ( 65 / 9 ) =

6 * 65 / ( 5 * 9 ) =

2 * 3 * 5 * 13 / ( 5 * 3 * 3 ) =

2 * 13 / 3 = 26 / 3

B)

6 2 / 7 = 6 + 2 / 7 =

6 * 7 / 7 + 2 / 7 =

42 / 7 + 2 / 7 = 44 / 7

2 * 44 / 7 = 88 / 7

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