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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 helps to add, subtract, multiply, and divide fractions and reduces them to the most simplified form. It not only calculates results but also displays step-wise solutions and conversion to decimal notation with respective visual representation. You can solve 2, 3, and 4 fractions problems by using this fraction solver.

Our calculator involves few simple steps to make calculations:

- Select the number of fractions
- Enter numerators and denominators in the respective fields
- Select the arithmetic operator
- Click ‘
**Calculate**’ & get the results

If the simplified form is an improper fraction, the calculator will automatically convert it to a mixed number.

Solving fractions involves applying arithmetic operations and reducing to the simplest possible notation, such that:

- Calculate LCD for all fraction denominators
- Considering 1st fraction, determine the number that will result in LCD when multiplied by its denominator
- Multiply that number with the numerator of 1st fraction and write over the LCD
- Repeat this step one by one for all fractions, starting from left to right
- Add all numerators
- Simplify using GCD, if possible

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

\(\dfrac{3}{5}+\dfrac{6}{4}\)

\(=\dfrac{\left(4×3\right)+\left(6×5\right)}{20}\)

\(=\dfrac{12+30}{20}\)

\(=\dfrac{42}{20}\)

Dividing the numerator and the denominator by GCD ‘**2**’

\(=\dfrac{\dfrac{42}{2}}{\dfrac{20}{2}}\)

\(=\dfrac{21}{10}\)

This is an improper fraction so we can convert it to a mixed number;

\(=\dfrac{21}{10} = 2\dfrac{1}{10}\)

To calculate decimal conversion and visualize your fraction addition, input the numerators and denominators in this adding fractions calculator and get instant results.

Subtracting fractions is almost similar to addition. Steps include:

- Repeat steps
**1**to**4**mentioned for fraction addition - Subtract all numerators
- Simplify the new fraction to a simplified form

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

\(\dfrac{2}{8}-\dfrac{4}{9}\)

\(=\dfrac{\left(9×2\right)-\left(8×4\right)}{72}\)

\(=\dfrac{18-32}{72}\)

\(=\dfrac{-14}{72}\)

Dividing the numerator and the denominator by GCD ‘**2**’

\(=\dfrac{\dfrac{-14}{2}}{\dfrac{72}{2}}\)

\(=\dfrac{-7}{36}\)

- Multiply all numerators
- In the same way, multiply all denominators
- Write the new fraction with the product of numerators above the line and the product of denominators below the line
- Use GCD to simplify to the reduced form, if possible

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

\(\dfrac{2}{4}×\dfrac{5}{8}\)

\(=\dfrac{2×5}{4×8}\)

\(=\dfrac{2×5}{4×8}\)

\(=\dfrac{10}{32}\)

Dividing the numerator and the denominator by GCD, which is ‘**2**’ here

\(=\dfrac{\dfrac{10}{2}}{\dfrac{32}{2}}\)

\(=\dfrac{5}{16}\)

To divide fractions:

- Turn division sign into multiplication
- Find the reciprocal of the second fraction by flipping its numerator and the denominator
- Multiply the first fraction with this reciprocal

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

\(\dfrac{6}{4}÷\dfrac{5}{3}\)

\(=\dfrac{6}{4}×\dfrac{3}{5}\)

\(=\dfrac{6×3}{4×5}\)

\(=\dfrac{18}{20}\)

**Simplifying to lowest form:**

\(=\dfrac{9}{10}\)

When using a fraction calculator or doing it manually, please make sure that the values are noted correctly for the correct solution.

64^{th} |
32^{nd} |
16^{th} |
8^{th} |
4^{th} |
2^{nd} |
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 |

- Fractions with very large numerators or denominators might be difficult to add, so the calculator does not support such bigger inputs.
- The calculator does not function if any input field is left blank
- Entering ‘0’ in the denominator will make your fractions infinite, thus making the tool unable to calculate results

This calculator ensures privacy and does not use your input values for any third-party concerns. For more details, visit our Privacy Policy.

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