What is 74/19 Divided By 8/4

Solving $\frac{74}{19}\div\frac{8}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{19} \div \frac{8}{4} = \frac{74}{19} \times \frac{4}{8}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $19 \times 8 = 152$
• Form the New Fraction: $\frac{74}{19} \times \frac{8}{4} = \frac{296}{152}$

Let's Simplify $\frac{296}{152}$

• Find the Greatest Common Divisor (GCD) of $296$ and $152$. The GCD of $296$ and $152$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{152 \div 8} = \frac{37}{19}$

Answer $\frac{74}{19}\div\frac{8}{4} = \frac{37}{19}$

The following animation demonstrates the divide-by,