if it takes 1 and 3/4 cups to make 1 batch how many cups will it take to make 2 and 1/2 batches

Question

math question I don't understand

Answer 1

1 and 3/4 cups = 4/4 + 3/4 = 7/4 cups

 

This equals 1 batch. If we want 2.5 batches, then we multiply by 2.5

 

2.5 x 7/4  = x

 

4.375 cups = x

 

You can also add the cups one batch and then a half batch at a time.

 

7/4 + 7/4 + (7/4*1/2) = x

 

multiply the first two (7/4) by 2/2 so there is a common denominator of 8

 

Then you have 14/8 + 14/8 + 7/8 = 35/8 = 4.375 cups