Evaluate. (3)/(2)÷(8)/(3)=

Understand the operation: Understand the operation to be performed. We need to divide the fraction (3)/(2) by the fraction (8)/(3). Division of fractions is the same as multiplying by the reciprocal of the divisor.Find the reciprocal of the divisor: Find the reciprocal of the divisor. The reciprocal of (8)/(3) is (3)/(8).Multiply the dividend by the reciprocal of the divisor: Multiply the dividend by the reciprocal of the divisor. Now we multiply (3)/(2) by (3)/(8). (3)/(2) × (3)/(8) = (3×3)/(2×8)Perform the multiplication: Perform the multiplication. Multiply the numerators together and the denominators together. (3×3)/(2×8) = 9/16

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

Full solution

Q. Evaluate.

\newline

\frac{3}{2} \div \frac{8}{3}=

Understand the operation: Understand the operation to be performed. $\newline$ We need to divide the fractions" target="_blank" class="backlink">fraction $(\frac{3}{2})$ by the fraction $(\frac{8}{3})$ . Division of fractions is the same as multiplying by the reciprocal of the divisor.
Find the reciprocal of the divisor: Find the reciprocal of the divisor. $\newline$ The reciprocal of $(\frac{8}{3})$ is $(\frac{3}{8})$ .
Multiply the dividend by the reciprocal of the divisor: Multiply the dividend by the reciprocal of the divisor. $\newline$ Now we multiply $(\frac{3}{2})$ by $(\frac{3}{8})$ . $\newline$ $(\frac{3}{2}) \times (\frac{3}{8}) = (\frac{3\times3}{2\times8})$
Perform the multiplication: Perform the multiplication. $\newline$ Multiply the numerators together and the denominators together. $\newline$ $(3\times3)/(2\times8) = 9/16$