What is 74/35 Divided By 8/2

Solving $\frac{74}{35}\div\frac{8}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{8}{2} = \frac{74}{35} \times \frac{2}{8}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{74}{35} \times \frac{8}{2} = \frac{148}{280}$

Let's Simplify $\frac{148}{280}$

• Find the Greatest Common Divisor (GCD) of $148$ and $280$. The GCD of $148$ and $280$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 4}{280 \div 4} = \frac{37}{70}$

Answer $\frac{74}{35}\div\frac{8}{2} = \frac{37}{70}$

The following animation demonstrates the divide-by,