What is 76/60 Divided By 7/6

Solving $\frac{76}{60}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{60} \div \frac{7}{6} = \frac{76}{60} \times \frac{6}{7}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{76}{60} \times \frac{7}{6} = \frac{456}{420}$

Let's Simplify $\frac{456}{420}$

• Find the Greatest Common Divisor (GCD) of $456$ and $420$. The GCD of $456$ and $420$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 12}{420 \div 12} = \frac{38}{35}$

Answer $\frac{76}{60}\div\frac{7}{6} = \frac{38}{35}$

The following animation demonstrates the divide-by,