What is 74/35 Divided By 2/7

Solving $\frac{74}{35}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{2}{7} = \frac{74}{35} \times \frac{7}{2}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{74}{35} \times \frac{2}{7} = \frac{518}{70}$

Let's Simplify $\frac{518}{70}$

• Find the Greatest Common Divisor (GCD) of $518$ and $70$. The GCD of $518$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 14}{70 \div 14} = \frac{37}{5}$

Answer $\frac{74}{35}\div\frac{2}{7} = \frac{37}{5}$

The following animation demonstrates the divide-by,