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

The best way to look at it is to split into 2 numbwrs:

1 + 3/4

So now we can say we really want half of both the numbers since both the numbers make up the original number

1/2 + (3/4) / 2

So we know easily that half of 1 is 1/2

to divide any number by another number is the same as multiplying by the numbers reciprocal. So we could change the 2nd part to:

(3/4) * (1/2)

So now we multiply the numerator and denominator and get:

3/8

add in the first part of our number again:

1/2 + 3/8

get common denominator:

4/8 + 3/8

And our answer is 7/8

7/8 cups of sugar is the answer I think