What is 74/98 Divided By 7/2

Solving $\frac{74}{98}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{98} \div \frac{7}{2} = \frac{74}{98} \times \frac{2}{7}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{74}{98} \times \frac{7}{2} = \frac{148}{686}$

Let's Simplify $\frac{148}{686}$

• Find the Greatest Common Divisor (GCD) of $148$ and $686$. The GCD of $148$ and $686$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 2}{686 \div 2} = \frac{74}{343}$

Answer $\frac{74}{98}\div\frac{7}{2} = \frac{74}{343}$

The following animation demonstrates the divide-by,