Respuesta :

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

Common denominators are used to combine fractions.

The equivalent fractions are: [tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]

The fractions are given as:

[tex]\mathbf{\frac{7}{8}}[/tex] and [tex]\mathbf{\frac{5}{6}}[/tex]

First, we determine the LCM of 8 and 6.

So, we have:

[tex]\mathbf{8 = 2 \times 2 \times 2}[/tex]

[tex]\mathbf{6 = 2 \times 3}[/tex]

So, the LCM is:

[tex]\mathbf{LCM = 2 \times 2 \times 2 \times 3}[/tex]

[tex]\mathbf{LCM = 24}[/tex]

Express 24 as a multiple of 6 and 8

[tex]\mathbf{24 = 3 \times 8}[/tex]

[tex]\mathbf{24 = 4 \times 6}[/tex]

So, the fractions become:

[tex]\mathbf{\frac{7}{8}}[/tex] and [tex]\mathbf{\frac{5}{6}}[/tex]

[tex]\mathbf{\frac{7 \times 3}{8 \times 3}}[/tex] and [tex]\mathbf{\frac{5 \times 4}{6 \times 4}}[/tex]

[tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]

Hence, the equivalent fractions are: [tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]

Read more common denominators at:

https://brainly.com/question/14004235

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