Simplify 35/40

35/40 simplified is 7/8, after dividing the top and bottom by 5.

Result

Answer

\frac{35}{40} = \textcolor{#0b5c56}{\frac{7}{8}}

35/40 simplifies to 7/8.

  • Greatest common factor: 5
  • Decimal: \displaystyle 0.875
  • Percent: 87.5%
35/407/8

Same amount, fewer parts

Step-by-step solution

The problem

\frac{35}{40}

  1. Find the greatest common factor. List the factors of each:
    Factors of 35: 1, 5, 7, 35
    Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
    The greatest common factor (GCF) is 5.

    \text{GCF}(35, 40) = 5

  2. Divide the top and bottom by 5. Dividing both by the same number keeps the value the same.

    = \frac{35 \div 5}{40 \div 5} = \textcolor{#0b5c56}{\frac{7}{8}}

All the working together

\begin{aligned} &\frac{35}{40} \\[8pt] &= \frac{35 \div 5}{40 \div 5} && \textcolor{#5b6660}{\textsf{divide by 5}} \\[8pt] &= \textcolor{#0b5c56}{\frac{7}{8}}\end{aligned}

35/40 in other forms

Simplest form7/8
Greatest common factor5
Decimal0.875
Percent87.5%
Equal fractions14/16, 21/24, 28/32, 42/48

Fractions over 40 simplified

FractionSimplest formDecimal
1/40already simplest0.025
2/401/200.05
3/40already simplest0.075
4/401/100.1
5/401/80.125
6/403/200.15
7/40already simplest0.175
8/401/50.2
9/40already simplest0.225
10/401/40.25
11/40already simplest0.275
12/403/100.3
13/40already simplest0.325
14/407/200.35
15/403/80.375
16/402/50.4
17/40already simplest0.425
18/409/200.45
19/40already simplest0.475
20/401/20.5
21/40already simplest0.525
22/4011/200.55
23/40already simplest0.575
24/403/50.6
25/405/80.625
26/4013/200.65
27/40already simplest0.675
28/407/100.7
29/40already simplest0.725
30/403/40.75
31/40already simplest0.775
32/404/50.8
33/40already simplest0.825
34/4017/200.85
35/407/80.875
36/409/100.9
37/40already simplest0.925
38/4019/200.95
39/40already simplest0.975

Frequently asked questions

What is 35/40 in simplest form?

35/40 simplifies to 7/8. Divide the top and bottom by 5, their greatest common factor: 35 ÷ 5 = 7 and 40 ÷ 5 = 8.

What is the greatest common factor of 35 and 40?

The GCF of 35 and 40 is 5 – the biggest number that divides both with nothing left over.

Is 35/40 equal to 7/8?

Yes. Both are 0.875 (87.5%). Simplifying changes how the fraction is written, not its value.

More fractions to simplify

Any other fraction or mixed number: use the Simplify Fractions Calculator.