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

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Multiply and divide rational numbers

Full solution

Q. Multiply.

\newline

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

_____

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 $2$ . $\newline$ $5 \times 2 = 10$ .
Write result as fraction: Write the result as a fraction. Combine the results of steps $2$ and $3$ to form the new fraction. $\frac{2}{10}$
Simplify 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 $2$ . $\newline$ $2 \div 2 = 1$ $\newline$ $10 \div 2 = 5$ $\newline$ So, $\frac{2}{10}$ simplifies to $\frac{1}{5}$ .

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