Fraction calculator

Simplify $\dfrac{15}{10}$

The easiest way to simplify a fraction is to divide both the numerator and denominator by the same number. In this example, we can divide 15 and 10 by 5.

$$ \dfrac{15}{10} = \dfrac{15:5}{10:5} = \dfrac{3}{2} $$

You can also solve this problem by using calculator.

Convert mixed number $4\dfrac{3}{5}$ to fraction

To convert a mixed number to an improper fraction, just multiply the denominator by the whole part and add the numerator.

$$ 4\dfrac{3}{5} = \dfrac{5 \cdot 4 + 3}{5} = \dfrac{23}{5} $$

Multiply $\dfrac{8}{15}$ by $\dfrac{10}{3}$

To multiply fractions, first cancel the common factors, then multiply the numerators and denominators.

$$ \dfrac{8}{15} \cdot \dfrac{10}{3} = \dfrac{8}{15:5} \cdot \dfrac{10:5}{3} = \dfrac{8}{3} \cdot \dfrac{2}{3} = \dfrac{8 \cdot 2}{3 \cdot 3} = \dfrac{16}{9} $$