What is 95/45 Divided By 2/3

Solving $\frac{95}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{45} \div \frac{2}{3} = \frac{95}{45} \times \frac{3}{2}$

• Multiply the Numerators: $95 \times 3 = 285$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{95}{45} \times \frac{2}{3} = \frac{285}{90}$

Let's Simplify $\frac{285}{90}$

• Find the Greatest Common Divisor (GCD) of $285$ and $90$. The GCD of $285$ and $90$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 15}{90 \div 15} = \frac{19}{6}$

Answer $\frac{95}{45}\div\frac{2}{3} = \frac{19}{6}$

The following animation demonstrates the divide-by,