What is 74/54 Divided By 7/4

Solving $\frac{74}{54}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{54} \div \frac{7}{4} = \frac{74}{54} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{74}{54} \times \frac{7}{4} = \frac{296}{378}$

Let's Simplify $\frac{296}{378}$

• Find the Greatest Common Divisor (GCD) of $296$ and $378$. The GCD of $296$ and $378$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 2}{378 \div 2} = \frac{148}{189}$

Answer $\frac{74}{54}\div\frac{7}{4} = \frac{148}{189}$

The following animation demonstrates the divide-by,