What is 75/43 Divided By 4/8

Solving $\frac{75}{43}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{43} \div \frac{4}{8} = \frac{75}{43} \times \frac{8}{4}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $43 \times 4 = 172$
• Form the New Fraction: $\frac{75}{43} \times \frac{4}{8} = \frac{600}{172}$

Let's Simplify $\frac{600}{172}$

• Find the Greatest Common Divisor (GCD) of $600$ and $172$. The GCD of $600$ and $172$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 4}{172 \div 4} = \frac{150}{43}$

Answer $\frac{75}{43}\div\frac{4}{8} = \frac{150}{43}$

The following animation demonstrates the divide-by,