What is 76/27 Divided By 8/7

Solving $\frac{76}{27}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{27} \div \frac{8}{7} = \frac{76}{27} \times \frac{7}{8}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{76}{27} \times \frac{8}{7} = \frac{532}{216}$

Let's Simplify $\frac{532}{216}$

• Find the Greatest Common Divisor (GCD) of $532$ and $216$. The GCD of $532$ and $216$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 4}{216 \div 4} = \frac{133}{54}$

Answer $\frac{76}{27}\div\frac{8}{7} = \frac{133}{54}$

The following animation demonstrates the divide-by,