What is 28/72 Divided By 7/8

Solving $\frac{28}{72}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{72} \div \frac{7}{8} = \frac{28}{72} \times \frac{8}{7}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{28}{72} \times \frac{7}{8} = \frac{224}{504}$

Let's Simplify $\frac{224}{504}$

• Find the Greatest Common Divisor (GCD) of $224$ and $504$. The GCD of $224$ and $504$ is $56$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 56}{504 \div 56} = \frac{4}{9}$

Answer $\frac{28}{72}\div\frac{7}{8} = \frac{4}{9}$

The following animation demonstrates the divide-by,