What is 18/42 Divided By 2/5

Solving $\frac{18}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{42} \div \frac{2}{5} = \frac{18}{42} \times \frac{5}{2}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{18}{42} \times \frac{2}{5} = \frac{90}{84}$

Let's Simplify $\frac{90}{84}$

• Find the Greatest Common Divisor (GCD) of $90$ and $84$. The GCD of $90$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 6}{84 \div 6} = \frac{15}{14}$

Answer $\frac{18}{42}\div\frac{2}{5} = \frac{15}{14}$

The following animation demonstrates the divide-by,