What is 54/57 Divided By 3/8

Solving $\frac{54}{57}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{57} \div \frac{3}{8} = \frac{54}{57} \times \frac{8}{3}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{54}{57} \times \frac{3}{8} = \frac{432}{171}$

Let's Simplify $\frac{432}{171}$

• Find the Greatest Common Divisor (GCD) of $432$ and $171$. The GCD of $432$ and $171$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 9}{171 \div 9} = \frac{48}{19}$

Answer $\frac{54}{57}\div\frac{3}{8} = \frac{48}{19}$

The following animation demonstrates the divide-by,