What is 85/46 Divided By 8/6

Solving $\frac{85}{46}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{46} \div \frac{8}{6} = \frac{85}{46} \times \frac{6}{8}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $46 \times 8 = 368$
• Form the New Fraction: $\frac{85}{46} \times \frac{8}{6} = \frac{510}{368}$

Let's Simplify $\frac{510}{368}$

• Find the Greatest Common Divisor (GCD) of $510$ and $368$. The GCD of $510$ and $368$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 2}{368 \div 2} = \frac{255}{184}$

Answer $\frac{85}{46}\div\frac{8}{6} = \frac{255}{184}$

The following animation demonstrates the divide-by,