Divide. 1/3 ÷ 4 = ____

Set up division fraction: Set up the division as a fraction. 1/3 ÷ 4 can be written as (1/3) / 4. Convert whole number: Convert the whole number into a fraction. 4 can be written as 4/1, so the expression becomes (1/3) / (4/1). Multiply by reciprocal: Multiply by the reciprocal of the divisor. To divide by a fraction, multiply by its reciprocal. So, (1/3) * (1/4). Multiply numerators and denominators: Multiply the numerators and the denominators. 1 * 1 = 1 and 3 * 4 = 12, so the answer is 1/12.

Home

Math Problems

Grade 7

Divide fractions

Full solution

Q. Divide.

\newline

\frac{1}{3} \div 4 = \_\_\_\_

Set up division fraction: Set up the division as a fraction. $\frac{1}{3} \div 4$ can be written as $(\frac{1}{3}) / 4$ .
Convert whole number: Convert the whole number into a fraction. $4$ can be written as $\frac{4}{1}$ , so the expression becomes $\left(\frac{1}{3}\right) / \left(\frac{4}{1}\right)$ .
Multiply by reciprocal: Multiply by the reciprocal of the divisor. $\newline$ To divide by a fraction, multiply by its reciprocal. So, $(\frac{1}{3}) \times (\frac{1}{4})$ .
Multiply numerators and denominators: Multiply the numerators and the denominators. $1 \times 1 = 1$ and $3 \times 4 = 12$ , so the answer is $\frac{1}{12}$ .