What Is 3/4 ÷ 1/8?

3/4 ÷ 1/8 = 6, a whole number.

Result

Answer

\frac{3}{4} \div \frac{1}{8} = \textcolor{#0b5c56}{6}

The quotient is 6.

Decimal: \displaystyle 6
Percent: 600%

Step-by-step solution

The problem

\frac{3}{4} \div \frac{1}{8}

Flip \displaystyle \frac{1}{8} and multiply. Dividing by a fraction is the same as multiplying by its reciprocal (the fraction turned upside down).
\frac{1}{8} \;\rightarrow\; \frac{8}{1}
= \textcolor{#0b5c56}{\frac{3}{4}} \times \textcolor{#0b5c56}{8}
Cancel common factors. Divide 8 and 4 by 4.
= \dfrac{3}{\cancel{4}_{\,\textcolor{#0b5c56}{1}}} \times \dfrac{\cancel{8}^{\,\textcolor{#0b5c56}{2}}}{1} = \textcolor{#0b5c56}{\frac{3}{1}} \times \textcolor{#0b5c56}{\frac{2}{1}}
Multiply. Top times top, bottom times bottom.
= \frac{3 \times 2}{1 \times 1} = \textcolor{#0b5c56}{6}

All the working together

\begin{aligned} &\frac{3}{4} \div \frac{1}{8} \\[8pt]  &= \frac{3}{4} \times 8 && \textcolor{#5b6660}{\textsf{flip}} \\[8pt]  &= \dfrac{3}{\cancel{4}_{\,1}} \times \dfrac{\cancel{8}^{\,2}}{1} && \textcolor{#5b6660}{\textsf{cancel}} \\[8pt]  &= \frac{3}{1} \times \frac{2}{1} \\[8pt]  &= \frac{3 \times 2}{1 \times 1} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{6}\end{aligned}

The answer in other forms

Simplest form	6
Decimal	6
Percent	600%
Same fractions	3/4 + 1/8, 3/4 − 1/8, 3/4 × 1/8

3/4 divided by other fractions

Sum	Answer
3/4 ÷ 1/2	3/2
3/4 ÷ 1/3	9/4
3/4 ÷ 2/3	9/8
3/4 ÷ 1/4	3
3/4 ÷ 1/5	15/4
3/4 ÷ 2/5	15/8
3/4 ÷ 3/5	5/4
3/4 ÷ 4/5	15/16
3/4 ÷ 1/6	9/2
3/4 ÷ 5/6	9/10
3/4 ÷ 1/8	6
3/4 ÷ 3/8	2
3/4 ÷ 5/8	6/5
3/4 ÷ 7/8	6/7