What is 83/22 Divided By 5/6

Solving $\frac{83}{22}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{22} \div \frac{5}{6} = \frac{83}{22} \times \frac{6}{5}$

• Multiply the Numerators: $83 \times 6 = 498$
• Multiply the Denominators: $22 \times 5 = 110$
• Form the New Fraction: $\frac{83}{22} \times \frac{5}{6} = \frac{498}{110}$

Let's Simplify $\frac{498}{110}$

• Find the Greatest Common Divisor (GCD) of $498$ and $110$. The GCD of $498$ and $110$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{498 \div 2}{110 \div 2} = \frac{249}{55}$

Answer $\frac{83}{22}\div\frac{5}{6} = \frac{249}{55}$

The following animation demonstrates the divide-by,