What is 75/70 Divided By 6/2

Solving $\frac{75}{70}\div\frac{6}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{70} \div \frac{6}{2} = \frac{75}{70} \times \frac{2}{6}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{75}{70} \times \frac{6}{2} = \frac{150}{420}$

Let's Simplify $\frac{150}{420}$

• Find the Greatest Common Divisor (GCD) of $150$ and $420$. The GCD of $150$ and $420$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 30}{420 \div 30} = \frac{5}{14}$

Answer $\frac{75}{70}\div\frac{6}{2} = \frac{5}{14}$

The following animation demonstrates the divide-by,