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Multiply. $\newline$ $\frac{1}{6}\times\frac{3}{5}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Multiply.

\newline

\frac{1}{6}\times\frac{3}{5}=

_____

Set up multiplication: Set up the multiplication of the two fractions. $\newline$ To multiply two fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ $\frac{1}{6} \times \frac{3}{5}$
Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators $1$ and $3$ . $\newline$ $1 \times 3 = 3$
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators $6$ and $5$ . $\newline$ $6 \times 5 = 30$
Write result as fraction: Write the result as a fraction. Combine the results of steps $2$ and $3$ to form the new fraction. $\frac{3}{30}$
Simplify fraction: Simplify the fraction. $\newline$ The fraction $\frac{3}{30}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $3 \div 3 = 1$ $\newline$ $30 \div 3 = 10$ $\newline$ So, $\frac{3}{30}$ simplifies to $\frac{1}{10}$ .

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