What is 74/45 Divided By 4/3

Solving $\frac{74}{45}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{45} \div \frac{4}{3} = \frac{74}{45} \times \frac{3}{4}$

• Multiply the Numerators: $74 \times 3 = 222$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{74}{45} \times \frac{4}{3} = \frac{222}{180}$

Let's Simplify $\frac{222}{180}$

• Find the Greatest Common Divisor (GCD) of $222$ and $180$. The GCD of $222$ and $180$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{222 \div 6}{180 \div 6} = \frac{37}{30}$

Answer $\frac{74}{45}\div\frac{4}{3} = \frac{37}{30}$

The following animation demonstrates the divide-by,