What is 75/81 Divided By 8/5

Solving $\frac{75}{81}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{8}{5} = \frac{75}{81} \times \frac{5}{8}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{75}{81} \times \frac{8}{5} = \frac{375}{648}$

Let's Simplify $\frac{375}{648}$

• Find the Greatest Common Divisor (GCD) of $375$ and $648$. The GCD of $375$ and $648$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{375 \div 3}{648 \div 3} = \frac{125}{216}$

Answer $\frac{75}{81}\div\frac{8}{5} = \frac{125}{216}$

The following animation demonstrates the divide-by,