What is 52/35 Divided By 2/7

Solving $\frac{52}{35}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{35} \div \frac{2}{7} = \frac{52}{35} \times \frac{7}{2}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{52}{35} \times \frac{2}{7} = \frac{364}{70}$

Let's Simplify $\frac{364}{70}$

• Find the Greatest Common Divisor (GCD) of $364$ and $70$. The GCD of $364$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 14}{70 \div 14} = \frac{26}{5}$

Answer $\frac{52}{35}\div\frac{2}{7} = \frac{26}{5}$

The following animation demonstrates the divide-by,