What is 45/85 Divided By 3/2

Solving $\frac{45}{85}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{85} \div \frac{3}{2} = \frac{45}{85} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{45}{85} \times \frac{3}{2} = \frac{90}{255}$

Let's Simplify $\frac{90}{255}$

• Find the Greatest Common Divisor (GCD) of $90$ and $255$. The GCD of $90$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 15}{255 \div 15} = \frac{6}{17}$

Answer $\frac{45}{85}\div\frac{3}{2} = \frac{6}{17}$

The following animation demonstrates the divide-by,