Your Result is copied!

Fraction Calculator

Simple

Advanced

With our online fraction calculator, simplify addition, subtraction, multiplication, and division of fractional terms and also carry out other operations with ease. This reduce fractions calculator can also handle any type of fraction including mixed, improper, and complex fractions.

Arithmetic Operations of Fraction:

The Fraction Calculator will reduce fractional terms to its simplest form. You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. We also offer step by step solutions.

How to Add or Subtract The Fractions?

Here is a more general rule to understand how to add and subtract fractions:

Find the least common multiple of the denominators.
Rewrite each fraction with the least common multiple as the denominator.
In addition, you should add the fraction denominators
For subtraction equations, subtract the fraction numerators

Fraction Addition Formula:

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

Fraction Subtraction Formula:

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

Fraction Addition Example:

$$ = \dfrac{3}{2}+\dfrac{1}{3} = \dfrac{11}{6} $$

$$ = \dfrac{3}{4}+\dfrac{2}{5} = \dfrac{23}{20} $$

$$ = \dfrac{5}{6}+\dfrac{7}{8} = \dfrac{82}{48} $$

Fraction Subtraction Example:

$$ = \dfrac{3}{2}-\dfrac{1}{3} = \dfrac{4}{6} $$

$$ = \dfrac{3}{4}-\dfrac{2}{5} = \dfrac{7}{20} $$

$$ = \dfrac{5}{6}-\dfrac{7}{8} = \dfrac{-2}{48} $$

To add fractions it is necessary to have the same denominators and if there is a difference in denominators then find out common denominators. This is the LCM of two denominators.

Once you have a common denominator, simply add the numerators and keep the denominator the same.

How to Multiply Fractions?

To understand the basic rules of fractional multiplication, easily solve a variety of math problems. The basic factors are as follows:

For multiplying fractions, multiply the numerators together and the denominators together.
After that simplify the results by canceling out the common factors

Use a fraction calculator to get the multiplication and division of fractional values because it has the ability to turn a number of fractions into their lowest decimal and mixed number fractions.

Fraction Multiplication Formula:

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

Multiplication Example:

$$ = \dfrac{2}{3} \times \dfrac{2}{5} = \dfrac {4}{15} $$

$$ = \dfrac{1}{6} \times \dfrac{5}{4} = \dfrac {5}{24} $$

$$ = \dfrac{4}{6} \times \dfrac{5}{7} = \dfrac {10}{21} $$

How to Divide Fractions:

Our fraction calculator can perform arithmetic operations on fractions. Their division rules are as follows:

Invert the divisor same to divide by a/b, and it becomes b/a
Instead of dividing fractions, change the division operation to multiplication.
Multiply the numerators of the fractions to get the new numerator
Multiply the denominators to get the new denominator

Dividing fractions is the same as multiplying the first fractions by the reciprocal of the second fraction. The fractional division is made easy by taking into service the below formula:

Fraction Division Formula:

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

Division Example:

$$ = \dfrac{2}{3} \div \dfrac{3}{4} = \dfrac {8}{9} $$

$$ = \dfrac{4}{7} \div \dfrac{5}{4} = \dfrac {16}{35} $$

$$ = \dfrac{6}{7} \div \dfrac{5}{3} = \dfrac {18}{35} $$

Important Fraction Symbols:

Symbol	Symbol name	Symbol Meaning
+	plus sign	addition
-	minus sign	subtraction
*	asterisk	multiplication
×	times sign	multiplication
:	division sign	division
/	division slash	division
:	colon	complex fraction
^	caret	exponentiation / power
()	parentheses	calculate expression inside first

Fraction Table:

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					Related Calculator Decimal Calculator Current Ratio Calculator ADVERTISEMENT Calculatored Your Trusted Partner In Solving Basic to Advance Problems. Follow Us Resources About Us Team Blogs Concern Terms of Service Content Disclaimer Privacy Policy Keep in touch Contact Us © Copyright 2026 by calculatored.com

EN	ES	HI
PT	PL	ID
TR	DE	FR
KO	RU	JA
IT	FI	AR
CS

EN	ES	HI
PT	PL	ID
TR	DE	FR
KO	RU	JA
IT	FI	AR
CS