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.