What is 27/17 Divided By 6/2

Solving $\frac{27}{17}\div\frac{6}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{17} \div \frac{6}{2} = \frac{27}{17} \times \frac{2}{6}$

• Multiply the Numerators: $27 \times 2 = 54$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{27}{17} \times \frac{6}{2} = \frac{54}{102}$

Let's Simplify $\frac{54}{102}$

• Find the Greatest Common Divisor (GCD) of $54$ and $102$. The GCD of $54$ and $102$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{54 \div 6}{102 \div 6} = \frac{9}{17}$

Answer $\frac{27}{17}\div\frac{6}{2} = \frac{9}{17}$

The following animation demonstrates the divide-by,