What is 24/74 Divided By 6/5

Solving $\frac{24}{74}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{74} \div \frac{6}{5} = \frac{24}{74} \times \frac{5}{6}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{24}{74} \times \frac{6}{5} = \frac{120}{444}$

Let's Simplify $\frac{120}{444}$

• Find the Greatest Common Divisor (GCD) of $120$ and $444$. The GCD of $120$ and $444$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 12}{444 \div 12} = \frac{10}{37}$

Answer $\frac{24}{74}\div\frac{6}{5} = \frac{10}{37}$

The following animation demonstrates the divide-by,