What is 46/11 Divided By 8/6

Solving $\frac{46}{11}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{11} \div \frac{8}{6} = \frac{46}{11} \times \frac{6}{8}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $11 \times 8 = 88$
• Form the New Fraction: $\frac{46}{11} \times \frac{8}{6} = \frac{276}{88}$

Let's Simplify $\frac{276}{88}$

• Find the Greatest Common Divisor (GCD) of $276$ and $88$. The GCD of $276$ and $88$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 4}{88 \div 4} = \frac{69}{22}$

Answer $\frac{46}{11}\div\frac{8}{6} = \frac{69}{22}$

The following animation demonstrates the divide-by,