What is 57/22 Divided By 9/4

Solving $\frac{57}{22}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{22} \div \frac{9}{4} = \frac{57}{22} \times \frac{4}{9}$

• Multiply the Numerators: $57 \times 4 = 228$
• Multiply the Denominators: $22 \times 9 = 198$
• Form the New Fraction: $\frac{57}{22} \times \frac{9}{4} = \frac{228}{198}$

Let's Simplify $\frac{228}{198}$

• Find the Greatest Common Divisor (GCD) of $228$ and $198$. The GCD of $228$ and $198$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 6}{198 \div 6} = \frac{38}{33}$

Answer $\frac{57}{22}\div\frac{9}{4} = \frac{38}{33}$

The following animation demonstrates the divide-by,