Evaluate. (4)/(7)÷(7)/(2)=

Understand the operation: Understand the operation to be performed. We need to divide the fraction (4)/(7) by the fraction (7)/(2). In mathematical terms, this is written as (4/7) ÷ (7/2).Convert to multiplication: Convert the division of fractions into multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (7)/(2) is (2)/(7). (4/7) ÷ (7/2) = (4/7) * (2/7)Multiply numerators and denominators: Multiply the numerators and denominators. Now we multiply the numerators together and the denominators together. (4 * 2) / (7 * 7) = 8 / 49Simplify the fraction: Simplify the fraction if possible. In this case, the fraction 8/49 is already in its simplest form, as 8 and 49 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{4}{7} \div \frac{7}{2}=

Understand the operation: Understand the operation to be performed. $\newline$ We need to divide the fraction $(4)/(7)$ by the fraction $(7)/(2)$ . In mathematical terms, this is written as $(\frac{4}{7}) \div (\frac{7}{2})$ .
Convert to multiplication: Convert the division of fractions into multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{7}{2})$ is $(\frac{2}{7})$ . $\newline$ $(\frac{4}{7}) \div (\frac{7}{2}) = (\frac{4}{7}) \times (\frac{2}{7})$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ $(4 \times 2) / (7 \times 7) = 8 / 49$
Simplify the fraction: Simplify the fraction if possible. $\newline$ In this case, the fraction $\frac{8}{49}$ is already in its simplest form, as $8$ and $49$ have no common factors other than $1$ .