What is 75/50 Divided By 8/9

Solving $\frac{75}{50}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{50} \div \frac{8}{9} = \frac{75}{50} \times \frac{9}{8}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $50 \times 8 = 400$
• Form the New Fraction: $\frac{75}{50} \times \frac{8}{9} = \frac{675}{400}$

Let's Simplify $\frac{675}{400}$

• Find the Greatest Common Divisor (GCD) of $675$ and $400$. The GCD of $675$ and $400$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 25}{400 \div 25} = \frac{27}{16}$

Answer $\frac{75}{50}\div\frac{8}{9} = \frac{27}{16}$

The following animation demonstrates the divide-by,