What is 28/72 Divided By 8/9

Solving $\frac{28}{72}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{72} \div \frac{8}{9} = \frac{28}{72} \times \frac{9}{8}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $72 \times 8 = 576$
• Form the New Fraction: $\frac{28}{72} \times \frac{8}{9} = \frac{252}{576}$

Let's Simplify $\frac{252}{576}$

• Find the Greatest Common Divisor (GCD) of $252$ and $576$. The GCD of $252$ and $576$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 36}{576 \div 36} = \frac{7}{16}$

Answer $\frac{28}{72}\div\frac{8}{9} = \frac{7}{16}$

The following animation demonstrates the divide-by,