What is 45/83 Divided By 5/2

Solving $\frac{45}{83}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{83} \div \frac{5}{2} = \frac{45}{83} \times \frac{2}{5}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{45}{83} \times \frac{5}{2} = \frac{90}{415}$

Let's Simplify $\frac{90}{415}$

• Find the Greatest Common Divisor (GCD) of $90$ and $415$. The GCD of $90$ and $415$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 5}{415 \div 5} = \frac{18}{83}$

Answer $\frac{45}{83}\div\frac{5}{2} = \frac{18}{83}$

The following animation demonstrates the divide-by,