What Is 2/5 ÷ 1/2?

Q: What is 2/5 ÷ 1/2?

2/5 ÷ 1/2 = 4/5 (0.8 as a decimal).

2/5 ÷ 1/2 = 4/5, which is 0.8 as a decimal.

Result

Answer

\frac{2}{5} \div \frac{1}{2} = \textcolor{#0b5c56}{\frac{4}{5}}

The quotient is 4/5 in simplest form.

Decimal: \displaystyle 0.8
Percent: 80%

4 of 5 equal parts

Step-by-step solution

The problem

\frac{2}{5} \div \frac{1}{2}

Flip \displaystyle \frac{1}{2} and multiply. Dividing by a fraction is the same as multiplying by its reciprocal (the fraction turned upside down).
\frac{1}{2} \;\rightarrow\; \frac{2}{1}
= \textcolor{#0b5c56}{\frac{2}{5}} \times \textcolor{#0b5c56}{2}
Multiply. A whole number is itself over 1. Top times top, bottom times bottom.
= \frac{2 \times 2}{5 \times 1} = \textcolor{#0b5c56}{\frac{4}{5}}
Check that it can't be simplified. 4 and 5 have no common factor other than 1, so this is the simplest form.
\text{GCF}(4, 5) = 1

All the working together

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

The answer in other forms

Simplest form	4/5
Decimal	0.8
Percent	80%
Same fractions	1/2 + 2/5, 1/2 − 2/5, 1/2 × 2/5

2/5 divided by other fractions

Sum	Answer
2/5 ÷ 1/2	4/5
2/5 ÷ 1/3	6/5
2/5 ÷ 2/3	3/5
2/5 ÷ 1/4	8/5
2/5 ÷ 3/4	8/15
2/5 ÷ 1/5	2
2/5 ÷ 3/5	2/3
2/5 ÷ 4/5	1/2
2/5 ÷ 1/6	12/5
2/5 ÷ 5/6	12/25
2/5 ÷ 1/8	16/5
2/5 ÷ 3/8	16/15
2/5 ÷ 5/8	16/25
2/5 ÷ 7/8	16/35