What is 75/42 Divided By 8/9

Solving $\frac{75}{42}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{42} \div \frac{8}{9} = \frac{75}{42} \times \frac{9}{8}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $42 \times 8 = 336$
• Form the New Fraction: $\frac{75}{42} \times \frac{8}{9} = \frac{675}{336}$

Let's Simplify $\frac{675}{336}$

• Find the Greatest Common Divisor (GCD) of $675$ and $336$. The GCD of $675$ and $336$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 3}{336 \div 3} = \frac{225}{112}$

Answer $\frac{75}{42}\div\frac{8}{9} = \frac{225}{112}$

The following animation demonstrates the divide-by,