What is 74/35 Divided By 8/5

Solving $\frac{74}{35}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{8}{5} = \frac{74}{35} \times \frac{5}{8}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{74}{35} \times \frac{8}{5} = \frac{370}{280}$

Let's Simplify $\frac{370}{280}$

• Find the Greatest Common Divisor (GCD) of $370$ and $280$. The GCD of $370$ and $280$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 10}{280 \div 10} = \frac{37}{28}$

Answer $\frac{74}{35}\div\frac{8}{5} = \frac{37}{28}$

The following animation demonstrates the divide-by,