Respuesta :

Answer:

[tex]\cfrac{7}{6}[/tex]

Step-by-step explanation:

[tex]\cfrac{7}{8} \div \cfrac{3}{4}[/tex]

Divide 7/8 by 3/4 by multiplying 7/8 by the reciprocal of 3/4:

[tex]\cfrac{7}{8}\times[/tex] [tex]\dbinom{4}{3}[/tex]

Now, multiply 7/8 times 4/3 by multiplying numerator times numerator and denominator times denominator:

[tex]\cfrac{7\times 4}{8\times 3}[/tex]

Do multiplication in fraction: [tex]\cfrac{7\times 4}{8\times 3}[/tex]

[tex]\cfrac{28}{24}[/tex]

Reduce fraction [tex]\frac{28}{24}[/tex] to lowest terms by extracting and canceling 4 out:

[tex]\cfrac{7}{6}[/tex]  [tex]\checkmark[/tex]

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