What is 35/57 Divided By 7/8

Solving $\frac{35}{57}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{57} \div \frac{7}{8} = \frac{35}{57} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $57 \times 7 = 399$
• Form the New Fraction: $\frac{35}{57} \times \frac{7}{8} = \frac{280}{399}$

Let's Simplify $\frac{280}{399}$

• Find the Greatest Common Divisor (GCD) of $280$ and $399$. The GCD of $280$ and $399$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 7}{399 \div 7} = \frac{40}{57}$

Answer $\frac{35}{57}\div\frac{7}{8} = \frac{40}{57}$

The following animation demonstrates the divide-by,