What is 34/85 Divided By 7/3

Solving $\frac{34}{85}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{7}{3} = \frac{34}{85} \times \frac{3}{7}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{34}{85} \times \frac{7}{3} = \frac{102}{595}$

Let's Simplify $\frac{102}{595}$

• Find the Greatest Common Divisor (GCD) of $102$ and $595$. The GCD of $102$ and $595$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 17}{595 \div 17} = \frac{6}{35}$

Answer $\frac{34}{85}\div\frac{7}{3} = \frac{6}{35}$

The following animation demonstrates the divide-by,