What is 75/70 Divided By 4/8

Solving $\frac{75}{70}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{70} \div \frac{4}{8} = \frac{75}{70} \times \frac{8}{4}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{75}{70} \times \frac{4}{8} = \frac{600}{280}$

Let's Simplify $\frac{600}{280}$

• Find the Greatest Common Divisor (GCD) of $600$ and $280$. The GCD of $600$ and $280$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 40}{280 \div 40} = \frac{15}{7}$

Answer $\frac{75}{70}\div\frac{4}{8} = \frac{15}{7}$

The following animation demonstrates the divide-by,