What is 75/34 Divided By 5/6

Solving $\frac{75}{34}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{34} \div \frac{5}{6} = \frac{75}{34} \times \frac{6}{5}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $34 \times 5 = 170$
• Form the New Fraction: $\frac{75}{34} \times \frac{5}{6} = \frac{450}{170}$

Let's Simplify $\frac{450}{170}$

• Find the Greatest Common Divisor (GCD) of $450$ and $170$. The GCD of $450$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 10}{170 \div 10} = \frac{45}{17}$

Answer $\frac{75}{34}\div\frac{5}{6} = \frac{45}{17}$

The following animation demonstrates the divide-by,