What is 75/12 Divided By 7/9

Solving $\frac{75}{12}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{12} \div \frac{7}{9} = \frac{75}{12} \times \frac{9}{7}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $12 \times 7 = 84$
• Form the New Fraction: $\frac{75}{12} \times \frac{7}{9} = \frac{675}{84}$

Let's Simplify $\frac{675}{84}$

• Find the Greatest Common Divisor (GCD) of $675$ and $84$. The GCD of $675$ and $84$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 3}{84 \div 3} = \frac{225}{28}$

Answer $\frac{75}{12}\div\frac{7}{9} = \frac{225}{28}$

The following animation demonstrates the divide-by,