What is 45/75 Divided By 7/8

Solving $\frac{45}{75}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{7}{8} = \frac{45}{75} \times \frac{8}{7}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{45}{75} \times \frac{7}{8} = \frac{360}{525}$

Let's Simplify $\frac{360}{525}$

• Find the Greatest Common Divisor (GCD) of $360$ and $525$. The GCD of $360$ and $525$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 15}{525 \div 15} = \frac{24}{35}$

Answer $\frac{45}{75}\div\frac{7}{8} = \frac{24}{35}$

The following animation demonstrates the divide-by,