What is 76/19 Divided By 6/7

Solving $\frac{76}{19}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{19} \div \frac{6}{7} = \frac{76}{19} \times \frac{7}{6}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $19 \times 6 = 114$
• Form the New Fraction: $\frac{76}{19} \times \frac{6}{7} = \frac{532}{114}$

Let's Simplify $\frac{532}{114}$

• Find the Greatest Common Divisor (GCD) of $532$ and $114$. The GCD of $532$ and $114$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 38}{114 \div 38} = \frac{14}{3}$

Answer $\frac{76}{19}\div\frac{6}{7} = \frac{14}{3}$

The following animation demonstrates the divide-by,