What is 74/98 Divided By 3/2

Solving $\frac{74}{98}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{98} \div \frac{3}{2} = \frac{74}{98} \times \frac{2}{3}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $98 \times 3 = 294$
• Form the New Fraction: $\frac{74}{98} \times \frac{3}{2} = \frac{148}{294}$

Let's Simplify $\frac{148}{294}$

• Find the Greatest Common Divisor (GCD) of $148$ and $294$. The GCD of $148$ and $294$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 2}{294 \div 2} = \frac{74}{147}$

Answer $\frac{74}{98}\div\frac{3}{2} = \frac{74}{147}$

The following animation demonstrates the divide-by,