Multiply. 3/10 × 1/3=_____

Multiply Numerators and Denominators: To multiply two fractions, we multiply the numerators together and the denominators together. So, we multiply the numerators 3 and 1, and the denominators 10 and 3. 3/10 * 1/3 = (3 * 1) / (10 * 3)Perform Multiplication: Now we perform the multiplication for both the numerator and the denominator. (3 * 1) / (10 * 3) = 3 / 30Simplify Fraction: The fraction 3/30 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 3 / 30 = (3 ÷ 3) / (30 ÷ 3)Divide by Greatest Common Divisor: After dividing both the numerator and the denominator by 3, we get the simplified fraction. (3 ÷ 3) / (30 ÷ 3) = 1 / 10

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Multiply. $\newline$ $\frac{3}{10}\times\frac{1}{3}=$ _____

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Algebra 1

Multiply and divide rational numbers

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Q. Multiply.

\newline

\frac{3}{10}\times\frac{1}{3}=

_____

Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators $3$ and $1$ . $\newline$ $3 \times 1 = 3$
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators $10$ and $3$ . $\newline$ $10 \times 3 = 30$
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 $\frac{1}{10}$ .