What is 74/85 Divided By 8/2

Solving $\frac{74}{85}\div\frac{8}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{8}{2} = \frac{74}{85} \times \frac{2}{8}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{74}{85} \times \frac{8}{2} = \frac{148}{680}$

Let's Simplify $\frac{148}{680}$

• Find the Greatest Common Divisor (GCD) of $148$ and $680$. The GCD of $148$ and $680$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 4}{680 \div 4} = \frac{37}{170}$

Answer $\frac{74}{85}\div\frac{8}{2} = \frac{37}{170}$

The following animation demonstrates the divide-by,