What is 27/42 Divided By 4/5

Solving $\frac{27}{42}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{4}{5} = \frac{27}{42} \times \frac{5}{4}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{27}{42} \times \frac{4}{5} = \frac{135}{168}$

Let's Simplify $\frac{135}{168}$

• Find the Greatest Common Divisor (GCD) of $135$ and $168$. The GCD of $135$ and $168$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{168 \div 3} = \frac{45}{56}$

Answer $\frac{27}{42}\div\frac{4}{5} = \frac{45}{56}$

The following animation demonstrates the divide-by,