Question #2f963

1 Answer
Sep 17, 2017

4 1/6 cups of sugar

Explanation:

The recipe calls for 1 2/3 cups of sugar, which we will convert to an improper fraction to aid multiplication:
1 2/3 = ((3 times 1)+2)/(3) = 5/3

If the recipe calls for 2 1/2 as much sugar, we need to find out what 1 2/3 times 2 1/2 is.
Again, we will convert the second mixed number into an improper fraction:

2 1/2 = ((2 times 2) + 1)/(2) = 5/2

Now, we multiply the two improper fractions:

5/3 times 5/2 = (5 times 5)/(3 times 2) = 25/6

And now we will convert back to a mixed number:

25/6 = (24 divide 6)((25-24)/6) = 4 1/6 cups of sugar are needed.