What is 76/17 Divided By 6/7

Solving $\frac{76}{17}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{17} \div \frac{6}{7} = \frac{76}{17} \times \frac{7}{6}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{76}{17} \times \frac{6}{7} = \frac{532}{102}$

Let's Simplify $\frac{532}{102}$

• Find the Greatest Common Divisor (GCD) of $532$ and $102$. The GCD of $532$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 2}{102 \div 2} = \frac{266}{51}$

Answer $\frac{76}{17}\div\frac{6}{7} = \frac{266}{51}$

The following animation demonstrates the divide-by,