What Is 1/4 ÷ 2/3?

1/4 ÷ 2/3 = 3/8, which is 0.375 as a decimal.

Result

Answer

\frac{1}{4} \div \frac{2}{3} = \textcolor{#0b5c56}{\frac{3}{8}}

The quotient is 3/8 in simplest form.

  • Decimal: \displaystyle 0.375
  • Percent: 37.5%

3 of 8 equal parts

Step-by-step solution

The problem

\frac{1}{4} \div \frac{2}{3}

  1. Flip \displaystyle \frac{2}{3} and multiply. Dividing by a fraction is the same as multiplying by its reciprocal (the fraction turned upside down).

    \frac{2}{3} \;\rightarrow\; \frac{3}{2}
    = \textcolor{#0b5c56}{\frac{1}{4}} \times \textcolor{#0b5c56}{\frac{3}{2}}

  2. Multiply. Top times top, bottom times bottom.

    = \frac{1 \times 3}{4 \times 2} = \textcolor{#0b5c56}{\frac{3}{8}}

  3. Check that it can't be simplified. 3 and 8 have no common factor other than 1, so this is the simplest form.

    \text{GCF}(3, 8) = 1

All the working together

\begin{aligned} &\frac{1}{4} \div \frac{2}{3} \\[8pt] &= \frac{1}{4} \times \frac{3}{2} && \textcolor{#5b6660}{\textsf{flip}} \\[8pt] &= \frac{1 \times 3}{4 \times 2} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{8}}\end{aligned}

The answer in other forms

Simplest form3/8
Decimal0.375
Percent37.5%
Same fractions2/3 + 1/4, 2/3 − 1/4, 2/3 × 1/4

1/4 divided by other fractions

SumAnswer
1/4 ÷ 1/21/2
1/4 ÷ 1/33/4
1/4 ÷ 2/33/8
1/4 ÷ 3/41/3
1/4 ÷ 1/55/4
1/4 ÷ 2/55/8
1/4 ÷ 3/55/12
1/4 ÷ 4/55/16
1/4 ÷ 1/63/2
1/4 ÷ 5/63/10
1/4 ÷ 1/82
1/4 ÷ 3/82/3
1/4 ÷ 5/82/5
1/4 ÷ 7/82/7

Frequently asked questions

What is 1/4 ÷ 2/3?

1/4 ÷ 2/3 = 3/8 (0.375 as a decimal).

How do you divide 1/4 by 2/3?

Flip the second fraction (2/3 becomes 3/2) and multiply: 1/4 × 3/2.

Other fractions, mixed numbers or up to five terms: use the Fraction Calculator.