What is 74/17 Divided By 2/3

Solving $\frac{74}{17}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{17} \div \frac{2}{3} = \frac{74}{17} \times \frac{3}{2}$

• Multiply the Numerators: $74 \times 3 = 222$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{74}{17} \times \frac{2}{3} = \frac{222}{34}$

Let's Simplify $\frac{222}{34}$

• Find the Greatest Common Divisor (GCD) of $222$ and $34$. The GCD of $222$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{222 \div 2}{34 \div 2} = \frac{111}{17}$

Answer $\frac{74}{17}\div\frac{2}{3} = \frac{111}{17}$

The following animation demonstrates the divide-by,