# Fractions - Learn How To Add Fractions With Common Denominators Or Different Denominators

## Add Fractions With Common Denominators

$\frac{5}{9} + \frac{8}{9} =$
The Denominators Of Both Fractions Are The Same - Add Numerators (5 + 8)
$\frac{\mathrm{\left(5 + 8\right)}}{9} = \frac{\mathrm{13}}{9} =$

Converting Improper Fraction To Mixed Number
$\frac{\mathrm{13}}{9} = 1\frac{4}{9}$

## Add Fractions With Different Denominators

$\frac{3}{8} + \frac{5}{6} =$
We Must Cross-Multiply Both Fractions To Get A Common Denominator
$\frac{3}{8} = \frac{\mathrm{3 × 6}}{\mathrm{8 × 6}} = \frac{\mathrm{18}}{\mathrm{48}}$
$\frac{5}{6} = \frac{\mathrm{5 × 8}}{\mathrm{6 × 8}} = \frac{\mathrm{40}}{\mathrm{48}}$
Both Fractions Now Have Common Denominators - Add Numerators (18 + 40)
$\frac{\mathrm{\left(18 + 40\right)}}{\mathrm{48}} = \frac{\mathrm{58}}{\mathrm{48}} =$
Greatest Common Divisor
$\frac{\mathrm{58}}{\mathrm{48}} = \frac{\mathrm{58 ÷ 2}}{\mathrm{48 ÷ 2}} = \frac{\mathrm{29}}{\mathrm{24}} =$
Converting Improper Fraction To Mixed Number
$\frac{\mathrm{29}}{\mathrm{24}} = 1\frac{5}{\mathrm{24}}$