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Disclaimer:The results generated by the tool should be considered for educational purposes only. You are notified to consult an expert in case you consider calculations as a reference anywhere.
Table of Content
This fraction calculator reduces fractions (or mixed numbers) to their lowest possible form. The calculator performs necessary arithmetic operations on the fractions provided and gives you a step-wise solution to understand the calculations better.
To get results by fraction calculator, select the number of fractions, enter numerators and denominators, select the operator, and click ‘Calculate’. The tool will reduce the set of fractions by the division method, accompanied by their greatest common factor (GCF).
For negative fractions, add the sign of subtraction before the numerator or denominator. For instance, if the fraction is \(\dfrac{-7}{9}\) then insert the minus(“-”) sign in the numerator or denominator field of the fractions calculator.
“Fraction represents the part of a whole thing”
It contains two parts one is the numerator which is above the line and the other is denominator that is below the line.
The part above the line shows how many equal parts are taken and the denominator indicates the total parts in which a thing is divided.
In case of fraction addition and subtraction, you must keep in mind that if your fractions have like or unlike denominators.
When it comes to the division of fractions, fraction solver follows the rule as under:
\(\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}\)
\(\dfrac{a}{b} – \dfrac{c}{d} = \dfrac{ad – bc}{bd}\)
\(\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}\)
\(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}\)
The best way to do it is using the fraction calculator that finds LCM and then cross multiply all terms to find accurate lowest fraction form. However, there is another easy way to add or subtract the fractions without taking the least common denominator. For this, find the least common multiple of the denominators and perform the cross multiplication as we have done below:
\(\text{Add} \ \dfrac{1}{2}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{5}\)
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:
\(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}\)
\(=\dfrac{5}{4} \div \dfrac{2}{3}\)
\(=\dfrac{5}{4} \times \dfrac{2}{3}\)
\(=\dfrac{5 \times 2}{4 \times3}\)
\(=\dfrac{10}{12}\)
\(=\dfrac{5}{6}\)
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 |
This fraction calculator is intended to solve all of these fractions, helping you to learn fraction simplification easily and in less time.
Yes, all fractions are rational numbers but every rational number can not be a fraction. If the numerator and denominators are whole numbers, then the rational number is a fraction.
If you want to perform mixed number fractions then use mixed numbers calculator.
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
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