Question

JOHN HAD 2/3 OF HIS HOMEWORK COMPLETE, SARAH HAD 5/10, ALEX 7/8, AND MICHELLE 1/2. WHO COMPLETED THE MOST OF THE HOMEWORK ASSIGNMENT?
A. ALEX
B. MICHELLE
C. SARAH
D. JOHN

Answer 1

We can either calculate each fraction and compare the results, or bring all of the fractions to a common denominator by finding the smallest common multiple for the fractions' denominators (3, 10, 8, 2), which is 3 * 2^3 * 5 = 120. Thus we must amplify each fraction so that its denominator becomes 120. 2/3 becomes 40/120, 5/10 becomes 60/120, 7/8 becomes 105/120 and 1/2 becomes 60/120. We can clearly see now that the largest of these fraction is the third (105/120). So the answer is C. Sarah.