What is 74/34 Divided By 8/4

Solving $\frac{74}{34}\div\frac{8}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{34} \div \frac{8}{4} = \frac{74}{34} \times \frac{4}{8}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $34 \times 8 = 272$
• Form the New Fraction: $\frac{74}{34} \times \frac{8}{4} = \frac{296}{272}$

Let's Simplify $\frac{296}{272}$

• Find the Greatest Common Divisor (GCD) of $296$ and $272$. The GCD of $296$ and $272$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{272 \div 8} = \frac{37}{34}$

Answer $\frac{74}{34}\div\frac{8}{4} = \frac{37}{34}$

The following animation demonstrates the divide-by,