What is 34/85 Divided By 4/7

Solving $\frac{34}{85}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{4}{7} = \frac{34}{85} \times \frac{7}{4}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{34}{85} \times \frac{4}{7} = \frac{238}{340}$

Let's Simplify $\frac{238}{340}$

• Find the Greatest Common Divisor (GCD) of $238$ and $340$. The GCD of $238$ and $340$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 34}{340 \div 34} = \frac{7}{10}$

Answer $\frac{34}{85}\div\frac{4}{7} = \frac{7}{10}$

The following animation demonstrates the divide-by,