What is 27/42 Divided By 3/4

Solving $\frac{27}{42}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{3}{4} = \frac{27}{42} \times \frac{4}{3}$

• Multiply the Numerators: $27 \times 4 = 108$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{27}{42} \times \frac{3}{4} = \frac{108}{126}$

Let's Simplify $\frac{108}{126}$

• Find the Greatest Common Divisor (GCD) of $108$ and $126$. The GCD of $108$ and $126$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 18}{126 \div 18} = \frac{6}{7}$

Answer $\frac{27}{42}\div\frac{3}{4} = \frac{6}{7}$

The following animation demonstrates the divide-by,