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Multiply. $\newline$ $-\frac{1}{4} \times -\frac{4}{5} =$ _____

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Multiply and divide rational numbers

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Q. Multiply.

\newline

-\frac{1}{4} \times -\frac{4}{5} =

_____

Identify numbers to multiply: Identify the numbers to multiply. $\newline$ We have two fractions: $-\frac{1}{4}$ and $-\frac{4}{5}$ . Since both are negative, the result will be positive because a negative times a negative is a positive. $\newline$ Calculation: $-\frac{1}{4} \times -\frac{4}{5}$
Perform multiplication calculation: Multiply the numerators and the denominators. $\newline$ Multiply the numerators: $-1 \times -4 = 4$ $\newline$ Multiply the denominators: $4 \times 5 = 20$ $\newline$ So, $-\frac{1}{4} \times -\frac{4}{5} = \frac{4}{20}$
Simplify the fraction: Simplify the fraction. $\newline$ $\frac{4}{20}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ Calculation: $4 \div 4 = 1$ and $20 \div 4 = 5$ $\newline$ So, $\frac{4}{20}$ simplifies to $\frac{1}{5}$ .

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