What is 42/54 Divided By 3/1

Solving $\frac{42}{54}\div\frac{3}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{54} \div \frac{3}{1} = \frac{42}{54} \times \frac{1}{3}$

• Multiply the Numerators: $42 \times 1 = 42$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{42}{54} \times \frac{3}{1} = \frac{42}{162}$

Let's Simplify $\frac{42}{162}$

• Find the Greatest Common Divisor (GCD) of $42$ and $162$. The GCD of $42$ and $162$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{42 \div 6}{162 \div 6} = \frac{7}{27}$

Answer $\frac{42}{54}\div\frac{3}{1} = \frac{7}{27}$

The following animation demonstrates the divide-by,