What is 75/42 Divided By 5/6

Solving $\frac{75}{42}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{42} \div \frac{5}{6} = \frac{75}{42} \times \frac{6}{5}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{75}{42} \times \frac{5}{6} = \frac{450}{210}$

Let's Simplify $\frac{450}{210}$

• Find the Greatest Common Divisor (GCD) of $450$ and $210$. The GCD of $450$ and $210$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 30}{210 \div 30} = \frac{15}{7}$

Answer $\frac{75}{42}\div\frac{5}{6} = \frac{15}{7}$

The following animation demonstrates the divide-by,