Question

Which correctly renames 7/8 and 5/6 using a common denominator

Answer 1

common denominator is going to be 24
8=2*2*2
6=2*3
24=2*2*2*3

8 should be multiplied by 3
6 should be multiplied by 4
7/8=(7*3)/(8*3)=21/24
5/6=(5*4)/(6*4)=20/24
7/8=21/24
5/6=20/24

Answer 2

Common denominators are used to combine fractions.

The equivalent fractions are: $\mathbf{\frac{21}{24}}$ and $\mathbf{\frac{20}{24}}$

The fractions are given as:

$\mathbf{\frac{7}{8}}$ and $\mathbf{\frac{5}{6}}$

First, we determine the LCM of 8 and 6.

So, we have:

$\mathbf{8 = 2 \times 2 \times 2}$

$\mathbf{6 = 2 \times 3}$

So, the LCM is:

$\mathbf{LCM = 2 \times 2 \times 2 \times 3}$

$\mathbf{LCM = 24}$

Express 24 as a multiple of 6 and 8

$\mathbf{24 = 3 \times 8}$

$\mathbf{24 = 4 \times 6}$

So, the fractions become:

$\mathbf{\frac{7}{8}}$ and $\mathbf{\frac{5}{6}}$

$\mathbf{\frac{7 \times 3}{8 \times 3}}$ and $\mathbf{\frac{5 \times 4}{6 \times 4}}$

$\mathbf{\frac{21}{24}}$ and $\mathbf{\frac{20}{24}}$

Hence, the equivalent fractions are: $\mathbf{\frac{21}{24}}$ and $\mathbf{\frac{20}{24}}$

Read more common denominators at:

https://brainly.com/question/14004235