What Is 3/5 × 5/6?

Q: What is 3/5 × 5/6?

3/5 × 5/6 = 1/2 (0.5 as a decimal).

3/5 × 5/6 = 1/2, which is 0.5 as a decimal.

Result

Answer

\frac{3}{5} \times \frac{5}{6} = \textcolor{#0b5c56}{\frac{1}{2}}

The product is 1/2 in simplest form.

Decimal: \displaystyle 0.5
Percent: 50%

1 of 2 equal parts

Step-by-step solution

The problem

\frac{3}{5} \times \frac{5}{6}

Cancel common factors. Divide 3 and 6 by 3; 5 and 5 by 5.
= \dfrac{\cancel{3}^{\,\textcolor{#0b5c56}{1}}}{\cancel{5}_{\,\textcolor{#0b5c56}{1}}} \times \dfrac{\cancel{5}^{\,\textcolor{#0b5c56}{1}}}{\cancel{6}_{\,\textcolor{#0b5c56}{2}}} = \textcolor{#0b5c56}{\frac{1}{1}} \times \textcolor{#0b5c56}{\frac{1}{2}}
Multiply. Top times top, bottom times bottom.
= \frac{1 \times 1}{1 \times 2} = \textcolor{#0b5c56}{\frac{1}{2}}

All the working together

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

The answer in other forms

Simplest form	1/2
Decimal	0.5
Percent	50%
Same fractions	3/5 + 5/6, 5/6 − 3/5, 3/5 ÷ 5/6

3/5 times other fractions

Sum	Answer
3/5 × 1/2	3/10
3/5 × 1/3	1/5
3/5 × 2/3	2/5
3/5 × 1/4	3/20
3/5 × 3/4	9/20
3/5 × 1/5	3/25
3/5 × 2/5	6/25
3/5 × 3/5	9/25
3/5 × 4/5	12/25
3/5 × 1/6	1/10
3/5 × 5/6	1/2
3/5 × 1/8	3/40
3/5 × 3/8	9/40
3/5 × 5/8	3/8
3/5 × 7/8	21/40