What is 53/57 Divided By 4/6

Solving $\frac{53}{57}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{57} \div \frac{4}{6} = \frac{53}{57} \times \frac{6}{4}$

• Multiply the Numerators: $53 \times 6 = 318$
• Multiply the Denominators: $57 \times 4 = 228$
• Form the New Fraction: $\frac{53}{57} \times \frac{4}{6} = \frac{318}{228}$

Let's Simplify $\frac{318}{228}$

• Find the Greatest Common Divisor (GCD) of $318$ and $228$. The GCD of $318$ and $228$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{318 \div 6}{228 \div 6} = \frac{53}{38}$

Answer $\frac{53}{57}\div\frac{4}{6} = \frac{53}{38}$

The following animation demonstrates the divide-by,