What is 57/19 Divided By 2/3

Solving $\frac{57}{19}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{19} \div \frac{2}{3} = \frac{57}{19} \times \frac{3}{2}$

• Multiply the Numerators: $57 \times 3 = 171$
• Multiply the Denominators: $19 \times 2 = 38$
• Form the New Fraction: $\frac{57}{19} \times \frac{2}{3} = \frac{171}{38}$

Let's Simplify $\frac{171}{38}$

• Find the Greatest Common Divisor (GCD) of $171$ and $38$. The GCD of $171$ and $38$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 19}{38 \div 19} = \frac{9}{2}$

Answer $\frac{57}{19}\div\frac{2}{3} = \frac{9}{2}$

The following animation demonstrates the divide-by,