What is 75/42 Divided By 6/4

Solving $\frac{75}{42}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{42} \div \frac{6}{4} = \frac{75}{42} \times \frac{4}{6}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{75}{42} \times \frac{6}{4} = \frac{300}{252}$

Let's Simplify $\frac{300}{252}$

• Find the Greatest Common Divisor (GCD) of $300$ and $252$. The GCD of $300$ and $252$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 12}{252 \div 12} = \frac{25}{21}$

Answer $\frac{75}{42}\div\frac{6}{4} = \frac{25}{21}$

The following animation demonstrates the divide-by,