What is 34/85 Divided By 6/7

Solving $\frac{34}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{6}{7} = \frac{34}{85} \times \frac{7}{6}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{34}{85} \times \frac{6}{7} = \frac{238}{510}$

Let's Simplify $\frac{238}{510}$

• Find the Greatest Common Divisor (GCD) of $238$ and $510$. The GCD of $238$ and $510$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 34}{510 \div 34} = \frac{7}{15}$

Answer $\frac{34}{85}\div\frac{6}{7} = \frac{7}{15}$

The following animation demonstrates the divide-by,