What is 45/46 Divided By 9/4

Solving $\frac{45}{46}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{9}{4} = \frac{45}{46} \times \frac{4}{9}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{45}{46} \times \frac{9}{4} = \frac{180}{414}$

Let's Simplify $\frac{180}{414}$

• Find the Greatest Common Divisor (GCD) of $180$ and $414$. The GCD of $180$ and $414$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 18}{414 \div 18} = \frac{10}{23}$

Answer $\frac{45}{46}\div\frac{9}{4} = \frac{10}{23}$

The following animation demonstrates the divide-by,