What is 52/17 Divided By 2/7

Solving $\frac{52}{17}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{17} \div \frac{2}{7} = \frac{52}{17} \times \frac{7}{2}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{52}{17} \times \frac{2}{7} = \frac{364}{34}$

Let's Simplify $\frac{364}{34}$

• Find the Greatest Common Divisor (GCD) of $364$ and $34$. The GCD of $364$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 2}{34 \div 2} = \frac{182}{17}$

Answer $\frac{52}{17}\div\frac{2}{7} = \frac{182}{17}$

The following animation demonstrates the divide-by,