What is 75/26 Divided By 9/8

Solving $\frac{75}{26}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{26} \div \frac{9}{8} = \frac{75}{26} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $26 \times 9 = 234$
• Form the New Fraction: $\frac{75}{26} \times \frac{9}{8} = \frac{600}{234}$

Let's Simplify $\frac{600}{234}$

• Find the Greatest Common Divisor (GCD) of $600$ and $234$. The GCD of $600$ and $234$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{234 \div 6} = \frac{100}{39}$

Answer $\frac{75}{26}\div\frac{9}{8} = \frac{100}{39}$

The following animation demonstrates the divide-by,