Compare 5/6 and 5/8 which fraction is greater explain how u know

Answer 1

To compare 5/6 and 5/8, we need to find a common denominator.

The lowest common multiple of 6 and 8 is 24.

To convert 5/6 to 24ths, we multiply the numerator and denominator by 4:

5/6 = (5 x 4) / (6 x 4) = 20/24

To convert 5/8 to 24ths, we multiply the numerator and denominator by 3:

5/8 = (5 x 3) / (8 x 3) = 15/24

Now that both fractions have the same denominator, we can compare their numerators.

20/24 > 15/24

Therefore, 5/6 is greater than 5/8.

We can also see that 5/6 is greater than 5/8 by visually comparing their representations on a number line. 5/6 is closer to 1 (the whole) than 5/8, indicating that it is a larger fraction.