What is 95/38 Divided By 2/3

Solving $\frac{95}{38}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{38} \div \frac{2}{3} = \frac{95}{38} \times \frac{3}{2}$

• Multiply the Numerators: $95 \times 3 = 285$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{95}{38} \times \frac{2}{3} = \frac{285}{76}$

Let's Simplify $\frac{285}{76}$

• Find the Greatest Common Divisor (GCD) of $285$ and $76$. The GCD of $285$ and $76$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 19}{76 \div 19} = \frac{15}{4}$

Answer $\frac{95}{38}\div\frac{2}{3} = \frac{15}{4}$

The following animation demonstrates the divide-by,