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Evaluate.

(8)/(5)÷(7)/(8)=

Evaluate. $\newline$ $\frac{8}{5} \div \frac{7}{8}=$

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Add, subtract, multiply, and divide integers

Full solution

Q. Evaluate.

\newline

\frac{8}{5} \div \frac{7}{8}=

Understand the operation: Understand the operation to be performed. $\newline$ We need to divide the fraction $(\frac{8}{5})$ by the fraction $(\frac{7}{8})$ .
Convert division to multiplication: Convert the division of fractions into multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{7}{8})$ is $(\frac{8}{7})$ . $\newline$ $(\frac{8}{5}) \div (\frac{7}{8}) = (\frac{8}{5}) \times (\frac{8}{7})$
Perform the multiplication: Perform the multiplication. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ $(8 \times 8) / (5 \times 7) = 64 / 35$
Simplify the fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{64}{35}$ cannot be simplified further as $64$ and $35$ have no common factors other than $1$ .

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