What is 28/33 Divided By 8/9

Solving $\frac{28}{33}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{33} \div \frac{8}{9} = \frac{28}{33} \times \frac{9}{8}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $33 \times 8 = 264$
• Form the New Fraction: $\frac{28}{33} \times \frac{8}{9} = \frac{252}{264}$

Let's Simplify $\frac{252}{264}$

• Find the Greatest Common Divisor (GCD) of $252$ and $264$. The GCD of $252$ and $264$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 12}{264 \div 12} = \frac{21}{22}$

Answer $\frac{28}{33}\div\frac{8}{9} = \frac{21}{22}$

The following animation demonstrates the divide-by,