What is 38/12 Divided By 7/2

Solving $\frac{38}{12}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{12} \div \frac{7}{2} = \frac{38}{12} \times \frac{2}{7}$

• Multiply the Numerators: $38 \times 2 = 76$
• Multiply the Denominators: $12 \times 7 = 84$
• Form the New Fraction: $\frac{38}{12} \times \frac{7}{2} = \frac{76}{84}$

Let's Simplify $\frac{76}{84}$

• Find the Greatest Common Divisor (GCD) of $76$ and $84$. The GCD of $76$ and $84$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{76 \div 4}{84 \div 4} = \frac{19}{21}$

Answer $\frac{38}{12}\div\frac{7}{2} = \frac{19}{21}$

The following animation demonstrates the divide-by,