What is 35/72 Divided By 7/8

Solving $\frac{35}{72}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{72} \div \frac{7}{8} = \frac{35}{72} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{35}{72} \times \frac{7}{8} = \frac{280}{504}$

Let's Simplify $\frac{280}{504}$

• Find the Greatest Common Divisor (GCD) of $280$ and $504$. The GCD of $280$ and $504$ is $56$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 56}{504 \div 56} = \frac{5}{9}$

Answer $\frac{35}{72}\div\frac{7}{8} = \frac{5}{9}$

The following animation demonstrates the divide-by,