Evaluate. (4)/(3)÷(7)/(8)=

Understand Operation: Understand the operation to be performed. We need to divide the fraction (4/3) by the fraction (7/8). In mathematical terms, this is written as (4/3) ÷ (7/8).Convert 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). (4/3) ÷ (7/8) = (4/3) × (8/7)Multiply Numerators and Denominators: Multiply the numerators and denominators. Now we multiply the numerators together and the denominators together. Numerator: 4 × 8 = 32 Denominator: 3 × 7 = 21 So, (4/3) × (8/7) = (32/21)Simplify Fraction: Simplify the fraction if possible. The fraction (32/21) cannot be simplified further as 32 and 21 have no common factors other than 1.

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Evaluate. $\newline$ $\frac{4}{3} \div \frac{7}{8}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{4}{3} \div \frac{7}{8}=

Understand Operation: Understand the operation to be performed. $\newline$ We need to divide the fraction $(\frac{4}{3})$ by the fraction $(\frac{7}{8})$ . In mathematical terms, this is written as $(\frac{4}{3}) \div (\frac{7}{8})$ .
Convert 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 $(\frac{8}{7})$ . $\newline$ $(\frac{4}{3}) \div (\frac{7}{8}) = (\frac{4}{3}) \times (\frac{8}{7})$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ Numerator: $4 \times 8 = 32$ $\newline$ Denominator: $3 \times 7 = 21$ $\newline$ So, $(\frac{4}{3}) \times (\frac{8}{7}) = (\frac{32}{21})$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $(\frac{32}{21})$ cannot be simplified further as $32$ and $21$ have no common factors other than $1$ .