What is 85/33 Divided By 7/6

Solving $\frac{85}{33}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{33} \div \frac{7}{6} = \frac{85}{33} \times \frac{6}{7}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $33 \times 7 = 231$
• Form the New Fraction: $\frac{85}{33} \times \frac{7}{6} = \frac{510}{231}$

Let's Simplify $\frac{510}{231}$

• Find the Greatest Common Divisor (GCD) of $510$ and $231$. The GCD of $510$ and $231$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 3}{231 \div 3} = \frac{170}{77}$

Answer $\frac{85}{33}\div\frac{7}{6} = \frac{170}{77}$

The following animation demonstrates the divide-by,