David is comparing the fractions 2/3 & 3/5. Which shows the fractions correctly rewritten and compared with the same numerator?A: 6/9 > 6/10B: 6/9 > 6/15C: 10/15 < 9/15D: 5/6 < 5/7
Accepted Solution
A:
First off we need to find the least common multiple of 2 and 3, the numerators. That would 6. Next multiply 2/3 by 3/3 so that the numerator can equal 6 and the value of the fraction will not change. Applying the same rule, multiply 3/5 by 2/2. The final fractions should be:
6/9 and 6/10
To figure out which fraction is greater visualize it. A pizza with 10 slices would have more slices, but thinner pieces than a pizza with 9 slices. Therefore, 6 slices from the pizza with 9 slices would be greater than 6 slices from the pizza with 10 slices.