Perform the operation and simplify the answer fully. ((1)/(2))/((5)/(2)) Answer:

Understand the problem: Understand the problem. We need to divide the fraction (1/2) by the fraction (5/2).Rewrite as multiplication: Rewrite the division of fractions as multiplication. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (5/2) is (2/5). ((1)/(2)) ÷ ((5)/(2)) = ((1)/(2)) * ((2)/(5))Perform the multiplication: Perform the multiplication. Now we multiply the numerators and the denominators separately. (1 * 2) / (2 * 5) = 2 / 10Simplify the fraction: Simplify the fraction. The fraction 2/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2 / 10 = (2 ÷ 2) / (10 ÷ 2) = 1 / 5

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Perform the operation and simplify the answer fully.

((1)/(2))/((5)/(2))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{1}{2}}{\frac{5}{2}}$ $\newline$ 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{1}{2}}{\frac{5}{2}}

\newline

Answer:

Understand the problem: Understand the problem. We need to divide the fraction $(\frac{1}{2})$ by the fraction $(\frac{5}{2})$ .
Rewrite as multiplication: Rewrite the division of fractions as multiplication. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{5}{2})$ is $(\frac{2}{5})$ . $\newline$ $\frac{1}{2}$ $\div$ $\frac{5}{2}$ = $\frac{1}{2}$ $*$ $\frac{2}{5}$
Perform the multiplication: Perform the multiplication. $\newline$ Now we multiply the numerators and the denominators separately. $\newline$ $(1 \times 2) / (2 \times 5) = 2 / 10$
Simplify the fraction: Simplify the fraction. $\newline$ The fraction $\frac{2}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{2}{10} = \left(\frac{2 \div 2}{10 \div 2}\right) = \frac{1}{5}$