What is 57/27 Divided By 3/2

Solving $\frac{57}{27}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{27} \div \frac{3}{2} = \frac{57}{27} \times \frac{2}{3}$

• Multiply the Numerators: $57 \times 2 = 114$
• Multiply the Denominators: $27 \times 3 = 81$
• Form the New Fraction: $\frac{57}{27} \times \frac{3}{2} = \frac{114}{81}$

Let's Simplify $\frac{114}{81}$

• Find the Greatest Common Divisor (GCD) of $114$ and $81$. The GCD of $114$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 3}{81 \div 3} = \frac{38}{27}$

Answer $\frac{57}{27}\div\frac{3}{2} = \frac{38}{27}$

The following animation demonstrates the divide-by,