What is 45/46 Divided By 9/5

Solving $\frac{45}{46}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{9}{5} = \frac{45}{46} \times \frac{5}{9}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{45}{46} \times \frac{9}{5} = \frac{225}{414}$

Let's Simplify $\frac{225}{414}$

• Find the Greatest Common Divisor (GCD) of $225$ and $414$. The GCD of $225$ and $414$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{414 \div 9} = \frac{25}{46}$

Answer $\frac{45}{46}\div\frac{9}{5} = \frac{25}{46}$

The following animation demonstrates the divide-by,