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# Fraction Calculator

Just add the numerator and denominator values, choose the arithmetic operator and let this calculator solve 2 or 3 fraction problems step by step.

To Calculate:

 + - × ÷ of ^ + - × ÷
More Fractions Calculator

Table of Content

 1 What Are The Fraction Rules? 2 How to Add Fractions: 3 How to Subtract Fractions? 4 How to Multiply Fractions? 5 How to Divide Fractions? 6 Is there a calculator for fractions? 7 What is a fraction between 0 and 1?

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Use this fraction calculator to add, subtract, multiply, divide fraction values. It can turn two or three fractions into lowest decimal & mixed number fractions.

Just make a couple of clicks and get step by step calculations involved in fraction simplification along with visual representation.

## Maths on Fractions:

In case of fraction addition and subtraction, you must keep in mind that if your fractions have like or unlike denominators.

• First of all, find LCD for all the fractions
• Now divide the denominator of the first fraction by the LCD. After this, multiply the resulting quotient with the numerator of first fraction and write it over LCD
• Do exactly the same for all other fractions in the combination
• For addition, add all the numerators and divide the number by LCD
• For subtraction, subtract all the numerators and divide the number by LCD

### Multiplication:

• Multiply all the numerators
• Likewise, multiply all the denominators
• At last, go for simplifying the result to the most reduced form

### Division:

When it comes to the division of fractions, fraction solver follows the rule as under:

• Keep: you have to keep the first fraction as it is
• Change: now go for inverting the division sign to the multiplication sign
• Flip: after that, flip the next fractions by replacing numerator and denominator positions

### How to Do Fractions?

Our fraction calculator uses various formulas to reduce fractions instead of dealing with LCD. This is because rules make fraction maths easy and less time consuming.

$$\text{Add} \dfrac{1}{2}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{5}$$

Formula:

$$\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}$$

$$= \dfrac{1}{2}+\dfrac{2}{5}$$

$$=\dfrac{5+4}{10}$$

$$=\dfrac{9}{10}$$

$$\text{Subtract} \dfrac{3}{5}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{9}$$

Formula:

$$\dfrac{a}{b} – \dfrac{c}{d} = \dfrac{ad – bc}{bd}$$

$$= \dfrac{3}{5}-\dfrac{2}{9}$$

$$=\dfrac{27-10}{45}$$

$$=\dfrac{17}{45}$$

$$\text{Multiply} \dfrac{4}{6}\hspace{0.025in}and\hspace{0.025in}\dfrac{1}{4}$$

Formula:

$$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}$$

$$=\dfrac{4}{6} \times \dfrac{1}{4}$$

$$=\dfrac{4 \times 1}{6 \times4}$$

$$=\dfrac{4}{24}$$

$$=\dfrac{1}{6}$$

$$\text{Divide} \dfrac{5}{4}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{3}$$

Formula:

$$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}$$

$$=\dfrac{5}{4} \div \dfrac{2}{3}$$

$$=\dfrac{5}{4} \times \dfrac{2}{3}$$

$$=\dfrac{5 \times 2}{4 \times3}$$

$$=\dfrac{10}{12}$$

$$=\dfrac{5}{6}$$

You can find that this online fraction calculator also uses the same formulats for calculating fraction related problems.

### Fraction Table:

The following table contains fractions and decimal values that are widely used by engineers, astronomers, constructors, and mathematicians to simplify calculations:

64th 32nd 16th 8th 4th 2nd Decimal Decimal
(inch to mm)
1/64 0.015625 0.396875
2/64 1/32 0.03125 0.79375
3/64 0.046875 1.190625
4/64 2/32 1/16 0.0625 1.5875
5/64 0.078125 1.984375
6/64 3/32 0.09375 2.38125
7/64 0.109375 2.778125
8/64 4/32 2/16 1/8 0.125 3.175
9/64 0.140625 3.571875
10/64 5/32 0.15625 3.96875
11/64 0.171875 4.365625
12/64 6/32 3/16 0.1875 4.7625
13/64 0.203125 5.159375
14/64 7/32 0.21875 5.55625
15/64 0.234375 5.953125
16/64 8/32 4/16 2/8 1/4 0.25 6.35
17/64 0.265625 6.746875
18/64 9/32 0.28125 7.14375
19/64 0.296875 7.540625
20/64 10/32 5/16 0.3125 7.9375
21/64 0.328125 8.334375
22/64 11/32 0.34375 8.73125
23/64 0.359375 9.128125
24/64 12/32 6/16 3/8 0.375 9.525
25/64 0.390625 9.921875
26/64 13/32 0.40625 10.31875
27/64 0.421875 10.715625
28/64 14/32 7/16 0.4375 11.1125
29/64 0.453125 11.509375
30/64 15/32 0.46875 11.90625
31/64 0.484375 12.303125
32/64 16/32 8/16 4/8 2/4 1/2 0.5 12.7
33/64 0.515625 13.096875
34/64 17/32 0.53125 13.49375
35/64 0.546875 13.890625
36/64 18/32 9/16 0.5625 14.2875
37/64 0.578125 14.684375
38/64 19/32 0.59375 15.08125
39/64 0.609375 15.478125
40/64 20/32 10/16 5/8 0.625 15.875
41/64 0.640625 16.271875
42/64 21/32 0.65625 16.66875
43/64 0.671875 17.065625
44/64 22/32 11/16 0.6875 17.4625
45/64 0.703125 17.859375
46/64 23/32 0.71875 18.25625
47/64 0.734375 18.653125
48/64 24/32 12/16 6/8 3/4 0.75 19.05
49/64 0.765625 19.446875
50/64 25/32 0.78125 19.84375
51/64 0.796875 20.240625
52/64 26/32 13/16 0.8125 20.6375
53/64 0.828125 21.034375
54/64 27/32 0.84375 21.43125
55/64 0.859375 21.828125
56/64 28/32 14/16 7/8 0.875 22.225
57/64 0.890625 22.621875
58/64 29/32 0.90625 23.01875
59/64 0.921875 23.415625
60/64 30/32 15/16 0.9375 23.8125
61/64 0.953125 24.209375
62/64 31/32 0.96875 24.60625
63/64 0.984375 25.003125
64/64 32/32 16/16 8/8 4/4 2/2 1 25.4

## References:

From the source of Wikipedia, the free encyclopedia: Forms of fractions

From the source of Wikihow: How to Do Fractions – a complete guide to understanding fractions