a soda shop owner told his employee to add 2 5/8 of a cup of syrup to each gallonn of soda if there was 4 gallons of soda how much syrup is needed

Question

mulitiplying and dividing fractions

Answer 1

Start by changing the mixed fraction to an improper fraction.

 

2 ⁵/₈ = (2·8+5)/8 = 21/8 cups/gallon

 

So the amount of syrup he needs for 4 gallons of soda is

 

(21/8 cups/gallon)(4 gallons) = 21/2 cups

 

You can change this to a mixed fraction as follows

 

21/2 = (10·2+1)/2 = 10 ¹/₂ cups.