What is 34/91 Divided By 2/7

Solving $\frac{34}{91}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{91} \div \frac{2}{7} = \frac{34}{91} \times \frac{7}{2}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{34}{91} \times \frac{2}{7} = \frac{238}{182}$

Let's Simplify $\frac{238}{182}$

• Find the Greatest Common Divisor (GCD) of $238$ and $182$. The GCD of $238$ and $182$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 14}{182 \div 14} = \frac{17}{13}$

Answer $\frac{34}{91}\div\frac{2}{7} = \frac{17}{13}$

The following animation demonstrates the divide-by,