What Is 1/4 ÷ 1/3?

1/4 ÷ 1/3 = 3/4, which is 0.75 as a decimal.

Result

Answer

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

The quotient is 3/4 in simplest form.

  • Decimal: \displaystyle 0.75
  • Percent: 75%

3 of 4 equal parts

Step-by-step solution

The problem

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

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

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

  2. Multiply. A whole number is itself over 1. Top times top, bottom times bottom.

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

  3. Check that it can't be simplified. 3 and 4 have no common factor other than 1, so this is the simplest form.

    \text{GCF}(3, 4) = 1

All the working together

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

The answer in other forms

Simplest form3/4
Decimal0.75
Percent75%
Same fractions1/3 + 1/4, 1/3 − 1/4, 1/3 × 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 ÷ 1/3?

1/4 ÷ 1/3 = 3/4 (0.75 as a decimal).

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

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

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