What is 45/75 Divided By 2/6

Solving $\frac{45}{75}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{2}{6} = \frac{45}{75} \times \frac{6}{2}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{45}{75} \times \frac{2}{6} = \frac{270}{150}$

Let's Simplify $\frac{270}{150}$

• Find the Greatest Common Divisor (GCD) of $270$ and $150$. The GCD of $270$ and $150$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 30}{150 \div 30} = \frac{9}{5}$

Answer $\frac{45}{75}\div\frac{2}{6} = \frac{9}{5}$

The following animation demonstrates the divide-by,