Evaluate. (5)/(9)÷(8)/(5)=

Understanding division of fractions: Understand the operation of division between two fractions. To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.Finding the reciprocal: Find the reciprocal of the second fraction. The reciprocal of (8/5) is (5/8).Multiplying the fractions: Multiply the first fraction by the reciprocal of the second fraction. (5/9) ÷ (8/5) = (5/9) * (5/8)Performing the multiplication: Perform the multiplication. To multiply two fractions, multiply the numerators together and the denominators together. (5/9) * (5/8) = (5 * 5) / (9 * 8) = 25 / 72Simplifying the fraction: Simplify the fraction if possible. In this case, 25 and 72 have no common factors other than 1, so the fraction is already in its simplest form.

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Evaluate. $\newline$ $\frac{5}{9} \div \frac{8}{5}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{5}{9} \div \frac{8}{5}=

Understanding division of fractions: Understand the operation of division between two fractions. $\newline$ To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Finding the reciprocal: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{8}{5})$ is $(\frac{5}{8})$ .
Multiplying the fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{5}{9}) \div (\frac{8}{5}) = (\frac{5}{9}) \times (\frac{5}{8})$
Performing the multiplication: Perform the multiplication. $\newline$ To multiply two fractions, multiply the numerators together and the denominators together. $\newline$ $(\frac{5}{9}) \times (\frac{5}{8}) = (\frac{5 \times 5}{9 \times 8}) = \frac{25}{72}$
Simplifying the fraction: Simplify the fraction if possible. $\newline$ In this case, $25$ and $72$ have no common factors other than $1$ , so the fraction is already in its simplest form.