Evaluate. (1)/(4)÷(8)/(3)=

Understand division between 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.Find reciprocal of second fraction: Find the reciprocal of the second fraction. The reciprocal of (8)/(3) is (3)/(8), because we swap the numerator and the denominator.Multiply first fraction by reciprocal: Multiply the first fraction by the reciprocal of the second fraction. (1)/(4) ÷ (8)/(3) becomes (1)/(4) * (3)/(8).Perform multiplication: Perform the multiplication. To multiply two fractions, we multiply the numerators together and the denominators together. (1 * 3) / (4 * 8) = 3 / 32.

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

Full solution

Q. Evaluate.

\newline

\frac{1}{4} \div \frac{8}{3}=

Understand division between 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.
Find reciprocal of second fraction: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{8}{3})$ is $(\frac{3}{8})$ , because we swap the numerator and the denominator.
Multiply first fraction by reciprocal: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{1}{4}) \div (\frac{8}{3})$ becomes $(\frac{1}{4}) \times (\frac{3}{8})$ .
Perform multiplication: Perform the multiplication. $\newline$ To multiply two fractions, we multiply the numerators together and the denominators together. $\newline$ $(1 \times 3) / (4 \times 8) = 3 / 32$ .