Perform the operation and simplify the answer fully. ((2)/(5))/((2)/(7)) Answer:

Understand the problem: Understand the problem. We need to divide the fraction (2/5) by the fraction (2/7).Rewrite as multiplication: Rewrite the division of fractions as multiplication. To divide by a fraction, we multiply by its reciprocal. ((2)/(5))/((2)/(7)) = (2/5) * (7/2)Multiply numerators and denominators: Multiply the numerators and denominators. Multiply the numerators: 2 * 7 = 14 Multiply the denominators: 5 * 2 = 10 So, (2/5) * (7/2) = (14)/(10)Simplify the fraction: Simplify the fraction. The fraction (14)/(10) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 14 ÷ 2 = 7 10 ÷ 2 = 5 So, (14)/(10) simplifies to (7)/(5).

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Perform the operation and simplify the answer fully.

((2)/(5))/((2)/(7))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{2}{5}}{\frac{2}{7}}$ $\newline$ 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{\frac{2}{5}}{\frac{2}{7}}

\newline

Answer:

Understand the problem: Understand the problem. We need to divide the fraction $(\frac{2}{5})$ by the fraction $(\frac{2}{7})$ .
Rewrite as multiplication: Rewrite the division of fractions as multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. $\newline$ $\frac{2}{5}$ / $\frac{2}{7}$ = $\frac{2}{5}$ * $\frac{7}{2}$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $2 \times 7 = 14$ $\newline$ Multiply the denominators: $5 \times 2 = 10$ $\newline$ So, $(\frac{2}{5}) \times (\frac{7}{2}) = \frac{14}{10}$
Simplify the fraction: Simplify the fraction. $\newline$ The fraction $(14)/(10)$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $14 \div 2 = 7$ $\newline$ $10 \div 2 = 5$ $\newline$ So, $(14)/(10)$ simplifies to $(7)/(5)$ .