What is 76/19 Divided By 7/2

Solving $\frac{76}{19}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{19} \div \frac{7}{2} = \frac{76}{19} \times \frac{2}{7}$

• Multiply the Numerators: $76 \times 2 = 152$
• Multiply the Denominators: $19 \times 7 = 133$
• Form the New Fraction: $\frac{76}{19} \times \frac{7}{2} = \frac{152}{133}$

Let's Simplify $\frac{152}{133}$

• Find the Greatest Common Divisor (GCD) of $152$ and $133$. The GCD of $152$ and $133$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 19}{133 \div 19} = \frac{8}{7}$

Answer $\frac{76}{19}\div\frac{7}{2} = \frac{8}{7}$

The following animation demonstrates the divide-by,