What is 45/83 Divided By 3/2

Solving $\frac{45}{83}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{83} \div \frac{3}{2} = \frac{45}{83} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $83 \times 3 = 249$
• Form the New Fraction: $\frac{45}{83} \times \frac{3}{2} = \frac{90}{249}$

Let's Simplify $\frac{90}{249}$

• Find the Greatest Common Divisor (GCD) of $90$ and $249$. The GCD of $90$ and $249$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 3}{249 \div 3} = \frac{30}{83}$

Answer $\frac{45}{83}\div\frac{3}{2} = \frac{30}{83}$

The following animation demonstrates the divide-by,