What is 72/45 Divided By 2/6

Solving $\frac{72}{45}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{45} \div \frac{2}{6} = \frac{72}{45} \times \frac{6}{2}$

• Multiply the Numerators: $72 \times 6 = 432$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{72}{45} \times \frac{2}{6} = \frac{432}{90}$

Let's Simplify $\frac{432}{90}$

• Find the Greatest Common Divisor (GCD) of $432$ and $90$. The GCD of $432$ and $90$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 18}{90 \div 18} = \frac{24}{5}$

Answer $\frac{72}{45}\div\frac{2}{6} = \frac{24}{5}$

The following animation demonstrates the divide-by,