What is 75/42 Divided By 2/6

Solving $\frac{75}{42}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{42} \div \frac{2}{6} = \frac{75}{42} \times \frac{6}{2}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{75}{42} \times \frac{2}{6} = \frac{450}{84}$

Let's Simplify $\frac{450}{84}$

• Find the Greatest Common Divisor (GCD) of $450$ and $84$. The GCD of $450$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 6}{84 \div 6} = \frac{75}{14}$

Answer $\frac{75}{42}\div\frac{2}{6} = \frac{75}{14}$

The following animation demonstrates the divide-by,