What is 83/22 Divided By 5/4

Solving $\frac{83}{22}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{22} \div \frac{5}{4} = \frac{83}{22} \times \frac{4}{5}$

• Multiply the Numerators: $83 \times 4 = 332$
• Multiply the Denominators: $22 \times 5 = 110$
• Form the New Fraction: $\frac{83}{22} \times \frac{5}{4} = \frac{332}{110}$

Let's Simplify $\frac{332}{110}$

• Find the Greatest Common Divisor (GCD) of $332$ and $110$. The GCD of $332$ and $110$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{332 \div 2}{110 \div 2} = \frac{166}{55}$

Answer $\frac{83}{22}\div\frac{5}{4} = \frac{166}{55}$

The following animation demonstrates the divide-by,