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

Understand the problem: Understand the problem. We need to divide one fraction by another. In this case, we are dividing (7x/5) by (7x/6).Rewrite as multiplication: Rewrite the division of fractions as multiplication. To divide by a fraction, we multiply by its reciprocal. So, ((7x)/(5))/((7x)/(6)) becomes ((7x)/(5)) * (6/(7x)).Simplify the expression: Simplify the expression. When we multiply fractions, we multiply the numerators together and the denominators together. So, ((7x)/(5)) * (6/(7x)) becomes (7x * 6)/(5 * 7x).Cancel common factors: Cancel out common factors. Both the numerator and the denominator have a common factor of 7x. We can cancel these out. This leaves us with 6/5.Check for simplification: Check for any further simplification. The fraction 6/5 cannot be simplified any further as 6 and 5 have no common factors other than 1.

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Perform the operation and simplify the answer fully.

((7x)/(5))/((7x)/(6))
Answer:

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

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{\frac{7 x}{5}}{\frac{7 x}{6}}

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to divide one fraction by another. In this case, we are dividing $(\frac{7x}{5})$ by $(\frac{7x}{6})$ .
Rewrite as multiplication: Rewrite the division of fractions as multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. So, $\left(\frac{7x}{5}\right)\div\left(\frac{7x}{6}\right)$ becomes $\left(\frac{7x}{5}\right) \times \left(\frac{6}{7x}\right)$ .
Simplify the expression: Simplify the expression. $\newline$ When we multiply fractions, we multiply the numerators together and the denominators together. So, $\left(\frac{7x}{5}\right) \times \left(\frac{6}{7x}\right)$ becomes $\frac{7x \times 6}{5 \times 7x}$ .
Cancel common factors: Cancel out common factors. $\newline$ Both the numerator and the denominator have a common factor of $7x$ . We can cancel these out. This leaves us with $\frac{6}{5}$ .
Check for simplification: Check for any further simplification. $\newline$ The fraction $\frac{6}{5}$ cannot be simplified any further as $6$ and $5$ have no common factors other than $1$ .