What is 34/85 Divided By 3/4

Solving $\frac{34}{85}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{3}{4} = \frac{34}{85} \times \frac{4}{3}$

• Multiply the Numerators: $34 \times 4 = 136$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{34}{85} \times \frac{3}{4} = \frac{136}{255}$

Let's Simplify $\frac{136}{255}$

• Find the Greatest Common Divisor (GCD) of $136$ and $255$. The GCD of $136$ and $255$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{136 \div 17}{255 \div 17} = \frac{8}{15}$

Answer $\frac{34}{85}\div\frac{3}{4} = \frac{8}{15}$

The following animation demonstrates the divide-by,