What is 28/75 Divided By 7/8

Solving $\frac{28}{75}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{75} \div \frac{7}{8} = \frac{28}{75} \times \frac{8}{7}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{28}{75} \times \frac{7}{8} = \frac{224}{525}$

Let's Simplify $\frac{224}{525}$

• Find the Greatest Common Divisor (GCD) of $224$ and $525$. The GCD of $224$ and $525$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 7}{525 \div 7} = \frac{32}{75}$

Answer $\frac{28}{75}\div\frac{7}{8} = \frac{32}{75}$

The following animation demonstrates the divide-by,