What is 76/45 Divided By 8/7

Solving $\frac{76}{45}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{45} \div \frac{8}{7} = \frac{76}{45} \times \frac{7}{8}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{76}{45} \times \frac{8}{7} = \frac{532}{360}$

Let's Simplify $\frac{532}{360}$

• Find the Greatest Common Divisor (GCD) of $532$ and $360$. The GCD of $532$ and $360$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 4}{360 \div 4} = \frac{133}{90}$

Answer $\frac{76}{45}\div\frac{8}{7} = \frac{133}{90}$

The following animation demonstrates the divide-by,