What is 75/89 Divided By 8/6

Solving $\frac{75}{89}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{8}{6} = \frac{75}{89} \times \frac{6}{8}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $89 \times 8 = 712$
• Form the New Fraction: $\frac{75}{89} \times \frac{8}{6} = \frac{450}{712}$

Let's Simplify $\frac{450}{712}$

• Find the Greatest Common Divisor (GCD) of $450$ and $712$. The GCD of $450$ and $712$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 2}{712 \div 2} = \frac{225}{356}$

Answer $\frac{75}{89}\div\frac{8}{6} = \frac{225}{356}$

The following animation demonstrates the divide-by,