the sum of fractions

Question

Rohit rode his bike 5 2/3 miles. Sarah rode her bike 5 1/5 miles. Who rode a greater distance? Write an inequality that compares the fractions.

Answer 1

2/3 vs 1/5 <--- common denominator is 15

2/3 = 10/15 and 1/5 = 3/15

so 2/3 > 1/5

therefore 5 and 2/3 > 5 and 1/5