What is 74/98 Divided By 3/7

Solving $\frac{74}{98}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{98} \div \frac{3}{7} = \frac{74}{98} \times \frac{7}{3}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $98 \times 3 = 294$
• Form the New Fraction: $\frac{74}{98} \times \frac{3}{7} = \frac{518}{294}$

Let's Simplify $\frac{518}{294}$

• Find the Greatest Common Divisor (GCD) of $518$ and $294$. The GCD of $518$ and $294$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 14}{294 \div 14} = \frac{37}{21}$

Answer $\frac{74}{98}\div\frac{3}{7} = \frac{37}{21}$

The following animation demonstrates the divide-by,