# Fraction Arithmetic Calculator

The fractions calculator helps solve fraction arithmetic problems. You can add, subtract, multiply and divide mixed or common fractions.

A __mixed number__ (or _mixed fraction_) is a fraction of the form c n/d, where _c_, _n_ and _d_ are integers and _n_ < _d_. For example, 2 3/4. It is therefore the sum of a whole number and a proper fraction. To perform an elementary operation on two mixed fractions, we first need to convert them to improper fractions. For example, given \$$1 {1 \over 2}\$$ and \$$2 {1 \over 3}\$$, we convert both fractions to the following improper fractions: \$${3 \over 2}\$$ and \$${7 \over 3}\$$. Next, we perform one of the operations. ##Addition## To add two fractions, make sure that their denominators are the same. For example, to add 12 and 13, both fraction's denominator should be equal to 6. example: \$${3 \over 6}+{2 \over 6}= {5 \over 6} \$$ ##Substraction## Substraction is the opposite of addition, so the formula is almost the same. ##Multiplication## To perform multiplication, multiply the nominator of the first fraction with the nominator of the other fraction, then multiply the denominator of the first fraction with the denomiantor of the other fraction: \$${n1 \over d1} \times {n2 \over d2} = {n1 \cdot n1 \over d1 \cdot d2} \$$ ##Division## Division is the opposite of multiplication, so we do the opposite: multiply the nominator of the first fraction with the denominator of the other fraction, then multiply the nominator of the second fraction with the denomiantor of the other fraction: \$${n1 \over d1} \div {n2 \over d2} = {n1 \cdot d2 \over d1 \cdot n2} \$$ Another method is just to swap the numerator of the second fraction with the denominator, and then perform multiplication: \$${n1 \over d1} \div {n2 \over d2} = {n1 \over d1} \times{d2 \over n2} = {n1 \cdot d2 \over d1 \cdot n2} \$$