What Is 3/4 × 7/8?

Q: What is 3/4 × 7/8?

3/4 × 7/8 = 21/32 (0.6563 as a decimal).

3/4 × 7/8 = 21/32, which is 0.65625 as a decimal.

Result

Answer

\frac{3}{4} \times \frac{7}{8} = \textcolor{#0b5c56}{\frac{21}{32}}

The product is 21/32 in simplest form.

Decimal: \displaystyle 0.65625
Percent: 65.63%

21 of 32 equal parts

Step-by-step solution

The problem

\frac{3}{4} \times \frac{7}{8}

Multiply. Top times top, bottom times bottom.
= \frac{3 \times 7}{4 \times 8} = \textcolor{#0b5c56}{\frac{21}{32}}
Check that it can't be simplified. 21 and 32 have no common factor other than 1, so this is the simplest form.
\text{GCF}(21, 32) = 1

All the working together

\begin{aligned} &\frac{3}{4} \times \frac{7}{8} \\[8pt]  &= \frac{3 \times 7}{4 \times 8} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{21}{32}}\end{aligned}

The answer in other forms

Simplest form	21/32
Decimal	0.65625
Percent	65.625%
Same fractions	3/4 + 7/8, 7/8 − 3/4, 3/4 ÷ 7/8

3/4 times other fractions

Sum	Answer
3/4 × 1/2	3/8
3/4 × 1/3	1/4
3/4 × 2/3	1/2
3/4 × 1/4	3/16
3/4 × 3/4	9/16
3/4 × 1/5	3/20
3/4 × 2/5	3/10
3/4 × 3/5	9/20
3/4 × 4/5	3/5
3/4 × 1/6	1/8
3/4 × 5/6	5/8
3/4 × 1/8	3/32
3/4 × 3/8	9/32
3/4 × 5/8	15/32
3/4 × 7/8	21/32