What is 74/35 Divided By 5/7

Solving $\frac{74}{35}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{5}{7} = \frac{74}{35} \times \frac{7}{5}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{74}{35} \times \frac{5}{7} = \frac{518}{175}$

Let's Simplify $\frac{518}{175}$

• Find the Greatest Common Divisor (GCD) of $518$ and $175$. The GCD of $518$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 7}{175 \div 7} = \frac{74}{25}$

Answer $\frac{74}{35}\div\frac{5}{7} = \frac{74}{25}$

The following animation demonstrates the divide-by,