What is 75/93 Divided By 9/8

Solving $\frac{75}{93}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{93} \div \frac{9}{8} = \frac{75}{93} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $93 \times 9 = 837$
• Form the New Fraction: $\frac{75}{93} \times \frac{9}{8} = \frac{600}{837}$

Let's Simplify $\frac{600}{837}$

• Find the Greatest Common Divisor (GCD) of $600$ and $837$. The GCD of $600$ and $837$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 3}{837 \div 3} = \frac{200}{279}$

Answer $\frac{75}{93}\div\frac{9}{8} = \frac{200}{279}$

The following animation demonstrates the divide-by,