What is 75/46 Divided By 9/8

Solving $\frac{75}{46}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{46} \div \frac{9}{8} = \frac{75}{46} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{75}{46} \times \frac{9}{8} = \frac{600}{414}$

Let's Simplify $\frac{600}{414}$

• Find the Greatest Common Divisor (GCD) of $600$ and $414$. The GCD of $600$ and $414$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{414 \div 6} = \frac{100}{69}$

Answer $\frac{75}{46}\div\frac{9}{8} = \frac{100}{69}$

The following animation demonstrates the divide-by,