What is 74/35 Divided By 4/7

Solving $\frac{74}{35}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{4}{7} = \frac{74}{35} \times \frac{7}{4}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{74}{35} \times \frac{4}{7} = \frac{518}{140}$

Let's Simplify $\frac{518}{140}$

• Find the Greatest Common Divisor (GCD) of $518$ and $140$. The GCD of $518$ and $140$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 14}{140 \div 14} = \frac{37}{10}$

Answer $\frac{74}{35}\div\frac{4}{7} = \frac{37}{10}$

The following animation demonstrates the divide-by,