What is 39/12 Divided By 7/2

Solving $\frac{39}{12}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{12} \div \frac{7}{2} = \frac{39}{12} \times \frac{2}{7}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $12 \times 7 = 84$
• Form the New Fraction: $\frac{39}{12} \times \frac{7}{2} = \frac{78}{84}$

Let's Simplify $\frac{78}{84}$

• Find the Greatest Common Divisor (GCD) of $78$ and $84$. The GCD of $78$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 6}{84 \div 6} = \frac{13}{14}$

Answer $\frac{39}{12}\div\frac{7}{2} = \frac{13}{14}$

The following animation demonstrates the divide-by,