Multiply. 1/3 × 3/4=_____

Identify operation: Identify the multiplication operation. We are asked to multiply two fractions: 1/3 and 3/4.Multiply numerators: Multiply the numerators. Multiply the numerators (top numbers) of the fractions together: 1 * 3 = 3.Multiply denominators: Multiply the denominators. Multiply the denominators (bottom numbers) of the fractions together: 3 * 4 = 12.Write down result: Write down the result of the multiplication. The result of multiplying the two fractions is the fraction formed by the new numerator and the new denominator: 3/12.Simplify fraction: Simplify the fraction if possible. The fraction 3/12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 3 ÷ 3 = 1 and 12 ÷ 3 = 4, so the simplified fraction is 1/4.

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Multiply. $\newline$ $\frac{1}{3}\times\frac{3}{4}=$ _____

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Math Problems

Algebra 1

Multiply and divide rational numbers

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Q. Multiply.

\newline

\frac{1}{3}\times\frac{3}{4}=

_____

Identify operation: Identify the multiplication operation. $\newline$ We are asked to multiply two fractions: $\frac{1}{3}$ and $\frac{3}{4}$ .
Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators (top numbers) of the fractions together: $1 \times 3 = 3$ .
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators (bottom numbers) of the fractions together: $3 \times 4 = 12$ .
Write down result: Write down the result of the multiplication. $\newline$ The result of multiplying the two fractions is the fraction formed by the new numerator and the new denominator: $\frac{3}{12}$ .
Simplify fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{3}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $3 \div 3 = 1$ and $12 \div 3 = 4$ , so the simplified fraction is $\frac{1}{4}$ .