What is 53/54 Divided By 3/6

Solving $\frac{53}{54}\div\frac{3}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{54} \div \frac{3}{6} = \frac{53}{54} \times \frac{6}{3}$

• Multiply the Numerators: $53 \times 6 = 318$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{53}{54} \times \frac{3}{6} = \frac{318}{162}$

Let's Simplify $\frac{318}{162}$

• Find the Greatest Common Divisor (GCD) of $318$ and $162$. The GCD of $318$ and $162$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{318 \div 6}{162 \div 6} = \frac{53}{27}$

Answer $\frac{53}{54}\div\frac{3}{6} = \frac{53}{27}$

The following animation demonstrates the divide-by,