
David W. answered 10/11/15
Tutor
4.7
(90)
Experienced Prof
The problem gives:
(35 1/2 miles) per (1 1/4 gallons) (and we do want miles per gallon)
(35 1/2 miles) / (1 1/4 gallons) ("per" means fraction)
(71/2 miles) / (5/4 gallons) (write each number carefully as improper fraction)
(71/2) / (5/4) miles/gallons (we have the right units, just need to compute numbers)
(71/2)*(4/5) miles/gallon (to divide by a fraction, invert denominator and multiply ! )
(142/5) miles/gallon
28 2/5 miles/gallon (now to proper fraction)
28.4 miles/gallon (same value as a decimal, if you want that)