What is 27/19 Divided By 3/2

Solving $\frac{27}{19}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{19} \div \frac{3}{2} = \frac{27}{19} \times \frac{2}{3}$

• Multiply the Numerators: $27 \times 2 = 54$
• Multiply the Denominators: $19 \times 3 = 57$
• Form the New Fraction: $\frac{27}{19} \times \frac{3}{2} = \frac{54}{57}$

Let's Simplify $\frac{54}{57}$

• Find the Greatest Common Divisor (GCD) of $54$ and $57$. The GCD of $54$ and $57$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{54 \div 3}{57 \div 3} = \frac{18}{19}$

Answer $\frac{27}{19}\div\frac{3}{2} = \frac{18}{19}$

The following animation demonstrates the divide-by,