What is 45/52 Divided By 9/2

Solving $\frac{45}{52}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{9}{2} = \frac{45}{52} \times \frac{2}{9}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $52 \times 9 = 468$
• Form the New Fraction: $\frac{45}{52} \times \frac{9}{2} = \frac{90}{468}$

Let's Simplify $\frac{90}{468}$

• Find the Greatest Common Divisor (GCD) of $90$ and $468$. The GCD of $90$ and $468$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 18}{468 \div 18} = \frac{5}{26}$

Answer $\frac{45}{52}\div\frac{9}{2} = \frac{5}{26}$

The following animation demonstrates the divide-by,