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fraction calculator

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.

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To Calculate:

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Table of Content

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Available on App

Download Fraction Calculator App for Your Mobile.

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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:

Addition and Subtraction:

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

Other Languages: Kalkulator Ułamków, Kesir Hesap Makinesi, Bruchrechnen, Kalkulator Pecahan, 分数の計算, 분수 계산기, Kalkulačka Zlomky, Calculadora De Fração, Calculatrice Fraction, Calculadora De Fracciones, Calcolatrice Frazioni, حاسبة الكسور, Калькулятор фракций, Fraktiolaskin