What is 34/75 Divided By 6/8

Solving $\frac{34}{75}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{6}{8} = \frac{34}{75} \times \frac{8}{6}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{34}{75} \times \frac{6}{8} = \frac{272}{450}$

Let's Simplify $\frac{272}{450}$

• Find the Greatest Common Divisor (GCD) of $272$ and $450$. The GCD of $272$ and $450$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 2}{450 \div 2} = \frac{136}{225}$

Answer $\frac{34}{75}\div\frac{6}{8} = \frac{136}{225}$

The following animation demonstrates the divide-by,