Perform the operation and simplify the answer fully. (6)/(5)÷(5)/(7) Answer:

Understand division of fractions: Understand the division of fractions. To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.Find reciprocal of second fraction: Find the reciprocal of the second fraction. The reciprocal of (5/7) is (7/5).Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. (6/5) ÷ (5/7) = (6/5) * (7/5)Perform multiplication: Perform the multiplication. Multiply the numerators and then the denominators. (6 * 7) / (5 * 5) = 42 / 25Check for further simplification: Check if the fraction can be simplified further. The fraction 42/25 cannot be simplified further as 42 and 25 have no common factors other than 1.

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Perform the operation and simplify the answer fully.

(6)/(5)÷(5)/(7)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{6}{5} \div \frac{5}{7}$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

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

\newline

Answer:

Understand division of fractions: Understand the division of fractions. $\newline$ To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
Find reciprocal of second fraction: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{5}{7})$ is $(\frac{7}{5})$ .
Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{6}{5}) \div (\frac{5}{7}) = (\frac{6}{5}) \times (\frac{7}{5})$
Perform multiplication: Perform the multiplication. $\newline$ Multiply the numerators and then the denominators. $\newline$ $(6 \times 7) / (5 \times 5) = 42 / 25$
Check for further simplification: Check if the fraction can be simplified further. $\newline$ The fraction $\frac{42}{25}$ cannot be simplified further as $42$ and $25$ have no common factors other than $1$ .