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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -(1)/(6)*-(4)/(5) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $-\frac{1}{6} \cdot-\frac{4}{5}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

\newline

-\frac{1}{6} \cdot-\frac{4}{5}

\newline

Answer:

Multiply Numerators: Multiply the numerators of the two fractions. $\newline$ We have two negative fractions: $-\frac{1}{6}$ and $-\frac{4}{5}$ . When we multiply two negative numbers, the result is positive. So, we multiply the numerators $1$ and $4$ . $\newline$ $1 \times 4 = 4$
Multiply Denominators: Multiply the denominators of the two fractions. $\newline$ Now we multiply the denominators $6$ and $5$ . $\newline$ $6 \times 5 = 30$
Write Product: Write the product of the two fractions. $\newline$ After multiplying the numerators and denominators, we combine them to form the new fraction. $\newline$ $(1 \times 4) / (6 \times 5) = 4 / 30$
Simplify Fraction: Simplify the fraction. $\newline$ We look for the greatest common divisor (GCD) of the numerator and the denominator to simplify the fraction. The GCD of $4$ and $30$ is $2$ . $\newline$ Divide both the numerator and the denominator by $2$ to simplify the fraction. $\newline$ $4 / 2 = 2$ $\newline$ $30 / 2 = 15$
Final Simplified Fraction: Write the final simplified fraction. $\newline$ After simplifying, we get the fraction: $\newline$ $\frac{2}{15}$

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