What is 45/42 Divided By 2/5

Solving $\frac{45}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{42} \div \frac{2}{5} = \frac{45}{42} \times \frac{5}{2}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{45}{42} \times \frac{2}{5} = \frac{225}{84}$

Let's Simplify $\frac{225}{84}$

• Find the Greatest Common Divisor (GCD) of $225$ and $84$. The GCD of $225$ and $84$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 3}{84 \div 3} = \frac{75}{28}$

Answer $\frac{45}{42}\div\frac{2}{5} = \frac{75}{28}$

The following animation demonstrates the divide-by,