Evaluate. (5)/(6)÷(1)/(7)=

Understanding division of 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.Finding the reciprocal of a fraction: Find the reciprocal of the second fraction. The reciprocal of (1/7) is (7/1), because we swap the numerator and the denominator.Multiplying fractions: Multiply the first fraction by the reciprocal of the second fraction. Now we perform the operation (5/6) * (7/1).Performing the multiplication: Perform the multiplication. To multiply two fractions, we multiply the numerators together and the denominators together. (5/6) * (7/1) = (5*7) / (6*1) = 35 / 6Simplifying the result: Simplify the result if necessary. The fraction 35/6 is already in its simplest form, so no further simplification is needed.

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Evaluate. $\newline$ $\frac{5}{6} \div \frac{1}{7}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{5}{6} \div \frac{1}{7}=

Understanding division of 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.
Finding the reciprocal of a fraction: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{1}{7})$ is $(\frac{7}{1})$ , because we swap the numerator and the denominator.
Multiplying fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ Now we perform the operation $(\frac{5}{6}) \times (\frac{7}{1})$ .
Performing the multiplication: Perform the multiplication. $\newline$ To multiply two fractions, we multiply the numerators together and the denominators together. $\newline$ $(\frac{5}{6}) \times (\frac{7}{1}) = (\frac{5 \times 7}{6 \times 1}) = \frac{35}{6}$
Simplifying the result: Simplify the result if necessary. $\newline$ The fraction $\frac{35}{6}$ is already in its simplest form, so no further simplification is needed.