What is 74/27 Divided By 4/6

Solving $\frac{74}{27}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{27} \div \frac{4}{6} = \frac{74}{27} \times \frac{6}{4}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{74}{27} \times \frac{4}{6} = \frac{444}{108}$

Let's Simplify $\frac{444}{108}$

• Find the Greatest Common Divisor (GCD) of $444$ and $108$. The GCD of $444$ and $108$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 12}{108 \div 12} = \frac{37}{9}$

Answer $\frac{74}{27}\div\frac{4}{6} = \frac{37}{9}$

The following animation demonstrates the divide-by,