What is 45/99 Divided By 7/2

Solving $\frac{45}{99}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{99} \div \frac{7}{2} = \frac{45}{99} \times \frac{2}{7}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{45}{99} \times \frac{7}{2} = \frac{90}{693}$

Let's Simplify $\frac{90}{693}$

• Find the Greatest Common Divisor (GCD) of $90$ and $693$. The GCD of $90$ and $693$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 9}{693 \div 9} = \frac{10}{77}$

Answer $\frac{45}{99}\div\frac{7}{2} = \frac{10}{77}$

The following animation demonstrates the divide-by,