What is 81/75 Divided By 9/7

Solving $\frac{81}{75}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{75} \div \frac{9}{7} = \frac{81}{75} \times \frac{7}{9}$

• Multiply the Numerators: $81 \times 7 = 567$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{81}{75} \times \frac{9}{7} = \frac{567}{675}$

Let's Simplify $\frac{567}{675}$

• Find the Greatest Common Divisor (GCD) of $567$ and $675$. The GCD of $567$ and $675$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{567 \div 27}{675 \div 27} = \frac{21}{25}$

Answer $\frac{81}{75}\div\frac{9}{7} = \frac{21}{25}$

The following animation demonstrates the divide-by,