Evaluate. (1)/(9)÷(8)/(7)=

Understand Division of Fractions: Understand the division of fractions. To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.Find Reciprocal of Second Fraction: Find the reciprocal of the second fraction. The reciprocal of (8/7) is (7/8).Multiply Fractions Using Reciprocal: Multiply the first fraction by the reciprocal of the second fraction. (1/9) ÷ (8/7) = (1/9) * (7/8)Perform Multiplication: Perform the multiplication. Multiply the numerators together and the denominators together. (1 * 7) / (9 * 8) = 7 / 72Simplify Fraction: Simplify the fraction if possible. The fraction 7/72 is already in its simplest form because 7 and 72 have no common factors other than 1.

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Evaluate. $\newline$ $\frac{1}{9} \div \frac{8}{7}=$

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Math Problems

Grade 7

Add, subtract, multiply, and divide integers

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Q. Evaluate.

\newline

\frac{1}{9} \div \frac{8}{7}=

Understand Division of Fractions: Understand the division of fractions. $\newline$ To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Find Reciprocal of Second Fraction: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{8}{7})$ is $(\frac{7}{8})$ .
Multiply Fractions Using Reciprocal: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{1}{9}) \div (\frac{8}{7}) = (\frac{1}{9}) \times (\frac{7}{8})$
Perform Multiplication: Perform the multiplication. $\newline$ Multiply the numerators together and the denominators together. $\newline$ $(1 \times 7) / (9 \times 8) = 7 / 72$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{7}{72}$ is already in its simplest form because $7$ and $72$ have no common factors other than $1$ .