Evaluate. (6)/(7)÷(1)/(6)=

Problem Understanding: Understand the problem. We need to divide the fraction 6/7 by the fraction 1/6. Rewriting Division as Multiplication: Rewrite the division of fractions as multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1/6 is 6/1. So, (6/7) ÷ (1/6) is the same as (6/7) * (6/1). Performing the Multiplication: Perform the multiplication. Now we multiply the numerators and the denominators separately. (6 * 6) / (7 * 1) = 36 / 7. Simplifying the Result: Simplify the result if possible. 36/7 cannot be simplified further, so this is the final answer.

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Evaluate. $\newline$ $\frac{6}{7} \div \frac{1}{6}=$

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Algebra 1

Solve two-step linear equations

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Q. Evaluate.

\newline

\frac{6}{7} \div \frac{1}{6}=

Problem Understanding: Understand the problem. $\newline$ We need to divide the fraction $\frac{6}{7}$ by the fraction $\frac{1}{6}$ .
Rewriting Division as Multiplication: Rewrite the division of fractions as multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{1}{6}$ is $\frac{6}{1}$ . So, $\frac{6}{7} \div \frac{1}{6}$ is the same as $\frac{6}{7} \times \frac{6}{1}$ .
Performing the Multiplication: Perform the multiplication. $\newline$ Now we multiply the numerators and the denominators separately. $(6 \times 6) / (7 \times 1) = 36 / 7$ .
Simplifying the Result: Simplify the result if possible. $\frac{36}{7}$ cannot be simplified further, so this is the final answer.