What renames 5/8 and 3/6 using a common denominator

LCM(8,6) = 24 so ...

Why is 6 and 8

To rename fractions using a common denominator, you need to find the smallest whole number that both denominators can divide evenly into. In this case, you need to find a common denominator for 5/8 and 3/6.

First, let's find the least common multiple (LCM) of 8 and 6.

The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ...

We can see that 24 is the smallest number that appears in both lists, so it's the LCM of 8 and 6.

Now, let's rename the fractions:

For 5/8, since 8 is the original denominator, and our common denominator is 24, we need to find the equivalent fraction with a denominator of 24. We multiply both the numerator and denominator by the same number (3 in this case, because 8 * 3 = 24). So, 5/8 * 3/3 = 15/24. Therefore, 5/8 can be renamed as 15/24.

For 3/6, since 6 is the original denominator, and our common denominator is 24, we need to find the equivalent fraction with a denominator of 24. We multiply both the numerator and denominator by the same number (4 in this case, because 6 * 4 = 24). So, 3/6 * 4/4 = 12/24. Therefore, 3/6 can be renamed as 12/24.

Hence, the equivalent fractions with a common denominator of 24 are 15/24 and 12/24.