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Multiply. $\newline$ $\frac{2}{5}\times\frac{1}{4}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Multiply.

\newline

\frac{2}{5}\times\frac{1}{4}=

_____

Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators $2$ and $1$ . $\newline$ $2 \times 1 = 2$
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators $5$ and $4$ . $\newline$ $5 \times 4 = 20$
Write result as fraction: Write the result as a fraction. Combine the results of steps $2$ and $3$ to form the new fraction. $\frac{2}{20}$
Simplify fraction: Simplify the fraction. $\newline$ The fraction $\frac{2}{20}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $2 \div 2 = 1$ $\newline$ $20 \div 2 = 10$ $\newline$ So, $\frac{2}{20}$ simplifies to $\frac{1}{10}$ .

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