What is 26/18 Divided By 2/3

Solving $\frac{26}{18}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{18} \div \frac{2}{3} = \frac{26}{18} \times \frac{3}{2}$

• Multiply the Numerators: $26 \times 3 = 78$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{26}{18} \times \frac{2}{3} = \frac{78}{36}$

Let's Simplify $\frac{78}{36}$

• Find the Greatest Common Divisor (GCD) of $78$ and $36$. The GCD of $78$ and $36$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 6}{36 \div 6} = \frac{13}{6}$

Answer $\frac{26}{18}\div\frac{2}{3} = \frac{13}{6}$

The following animation demonstrates the divide-by,