What is 38/19 Divided By 9/5

Solving $\frac{38}{19}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{19} \div \frac{9}{5} = \frac{38}{19} \times \frac{5}{9}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{38}{19} \times \frac{9}{5} = \frac{190}{171}$

Let's Simplify $\frac{190}{171}$

• Find the Greatest Common Divisor (GCD) of $190$ and $171$. The GCD of $190$ and $171$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 19}{171 \div 19} = \frac{10}{9}$

Answer $\frac{38}{19}\div\frac{9}{5} = \frac{10}{9}$

The following animation demonstrates the divide-by,