What is 76/57 Divided By 7/8

Solving $\frac{76}{57}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{57} \div \frac{7}{8} = \frac{76}{57} \times \frac{8}{7}$

• Multiply the Numerators: $76 \times 8 = 608$
• Multiply the Denominators: $57 \times 7 = 399$
• Form the New Fraction: $\frac{76}{57} \times \frac{7}{8} = \frac{608}{399}$

Let's Simplify $\frac{608}{399}$

• Find the Greatest Common Divisor (GCD) of $608$ and $399$. The GCD of $608$ and $399$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{608 \div 19}{399 \div 19} = \frac{32}{21}$

Answer $\frac{76}{57}\div\frac{7}{8} = \frac{32}{21}$

The following animation demonstrates the divide-by,