What is 75/27 Divided By 8/7

Solving $\frac{75}{27}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{27} \div \frac{8}{7} = \frac{75}{27} \times \frac{7}{8}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{75}{27} \times \frac{8}{7} = \frac{525}{216}$

Let's Simplify $\frac{525}{216}$

• Find the Greatest Common Divisor (GCD) of $525$ and $216$. The GCD of $525$ and $216$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 3}{216 \div 3} = \frac{175}{72}$

Answer $\frac{75}{27}\div\frac{8}{7} = \frac{175}{72}$

The following animation demonstrates the divide-by,