Question

Adrian's recipe for cranberry relish calls for 1 and 3/4 cups of sugar. He wants to us 1/2 that amount. How much sugar should he use?

Answer 1

1 and 3/4 as an improper fraction: 7/4
1/2*7/4=7/8

He should use 7/8 of a cup of sugar.

Answer 2

`(7)/(8)` cups of sugar.

Explanation:

We have been given that Adrian's recipe for cranberry relish calls for
`1(3)/(4)` cups of sugar. He wants to use 1/2 that amount.

First of all let us convert our given mixed fraction into improper fraction.

`1(3)/(4)=(1\cdot3+4)/(4)=(3+4)/(4)=(7)/(4)`

Since Adrian wants to use half of the sugar, so we need to divide
`(7)/(4)` by 2 to find the amount of sugar he should use.

`\text{Amount of sugar that Adrian should use}=(7)/((4)/(2))`

`\text{Amount of sugar that Adrian should use}=(7*1)/(4*2)`

`\text{Amount of sugar that Adrian should use}=(7)/(8)`

Therefore, Adrian should use
`(7)/(8)` cups of sugar.