What is 17/27 Divided By 2/3

Solving $\frac{17}{27}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{27} \div \frac{2}{3} = \frac{17}{27} \times \frac{3}{2}$

• Multiply the Numerators: $17 \times 3 = 51$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{17}{27} \times \frac{2}{3} = \frac{51}{54}$

Let's Simplify $\frac{51}{54}$

• Find the Greatest Common Divisor (GCD) of $51$ and $54$. The GCD of $51$ and $54$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{51 \div 3}{54 \div 3} = \frac{17}{18}$

Answer $\frac{17}{27}\div\frac{2}{3} = \frac{17}{18}$

The following animation demonstrates the divide-by,