What is 75/70 Divided By 6/4

Solving $\frac{75}{70}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{70} \div \frac{6}{4} = \frac{75}{70} \times \frac{4}{6}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{75}{70} \times \frac{6}{4} = \frac{300}{420}$

Let's Simplify $\frac{300}{420}$

• Find the Greatest Common Divisor (GCD) of $300$ and $420$. The GCD of $300$ and $420$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 60}{420 \div 60} = \frac{5}{7}$

Answer $\frac{75}{70}\div\frac{6}{4} = \frac{5}{7}$

The following animation demonstrates the divide-by,