What is 46/45 Divided By 2/9

Solving $\frac{46}{45}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{45} \div \frac{2}{9} = \frac{46}{45} \times \frac{9}{2}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{46}{45} \times \frac{2}{9} = \frac{414}{90}$

Let's Simplify $\frac{414}{90}$

• Find the Greatest Common Divisor (GCD) of $414$ and $90$. The GCD of $414$ and $90$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 18}{90 \div 18} = \frac{23}{5}$

Answer $\frac{46}{45}\div\frac{2}{9} = \frac{23}{5}$

The following animation demonstrates the divide-by,