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Multiply. $\newline$ $-\frac{4}{5} \times \frac{1}{8} =$ _____

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Multiply and divide rational numbers

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Q. Multiply.

\newline

-\frac{4}{5} \times \frac{1}{8} =

_____

Identify numbers to multiply: Identify the numbers to multiply. $\newline$ We have two fractions: $-\frac{4}{5}$ and $\frac{1}{8}$ . We need to multiply these fractions together. $\newline$ Calculation: $(-\frac{4}{5}) \times (\frac{1}{8})$
Multiply numerators and denominators: Multiply the numerators and the denominators. $\newline$ Multiply the numerators: $-4 \times 1 = -4$ $\newline$ Multiply the denominators: $5 \times 8 = 40$ $\newline$ So, the product of the fractions is $-\frac{4}{40}.$
Simplify the fraction: Simplify the fraction. $\newline$ $-\frac{4}{40}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $-4 \div 4 = -1$ $\newline$ $40 \div 4 = 10$ $\newline$ So, the simplified fraction is $-\frac{1}{10}$ .

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