What is 27/42 Divided By 2/5

Solving $\frac{27}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{2}{5} = \frac{27}{42} \times \frac{5}{2}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{27}{42} \times \frac{2}{5} = \frac{135}{84}$

Let's Simplify $\frac{135}{84}$

• Find the Greatest Common Divisor (GCD) of $135$ and $84$. The GCD of $135$ and $84$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{84 \div 3} = \frac{45}{28}$

Answer $\frac{27}{42}\div\frac{2}{5} = \frac{45}{28}$

The following animation demonstrates the divide-by,