What is 34/75 Divided By 4/8

Solving $\frac{34}{75}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{4}{8} = \frac{34}{75} \times \frac{8}{4}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{34}{75} \times \frac{4}{8} = \frac{272}{300}$

Let's Simplify $\frac{272}{300}$

• Find the Greatest Common Divisor (GCD) of $272$ and $300$. The GCD of $272$ and $300$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 4}{300 \div 4} = \frac{68}{75}$

Answer $\frac{34}{75}\div\frac{4}{8} = \frac{68}{75}$

The following animation demonstrates the divide-by,