What is 35/85 Divided By 6/8

Solving $\frac{35}{85}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{85} \div \frac{6}{8} = \frac{35}{85} \times \frac{8}{6}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{35}{85} \times \frac{6}{8} = \frac{280}{510}$

Let's Simplify $\frac{280}{510}$

• Find the Greatest Common Divisor (GCD) of $280$ and $510$. The GCD of $280$ and $510$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 10}{510 \div 10} = \frac{28}{51}$

Answer $\frac{35}{85}\div\frac{6}{8} = \frac{28}{51}$

The following animation demonstrates the divide-by,