Evaluate. (8)/(5)÷(7)/(8)=

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

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Math Problems

Grade 7

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 $1$ .