### Instruction: What is $1.45$ expressed as a fraction?### Response: To express $1.45$ as a fraction, I need to find two integers, a numerator and a denominator, that are equivalent to $1.45$ when divided.
I could start by writing $1.45$ as $1 + 0.45$, which is the same as $\frac{1}{1} + \frac{45}{100}$.
[* the fraction $\frac{45}{100}$ can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 5.
This gives me $\frac{45}{100} = \frac{9}{20}$.
So, $1.45$ is the same as $\frac{1}{1} + \frac{9}{20}$, which I can combine into a single fraction by finding a common denominator.
The least common multiple of 1 and 20 is 20, so I multiply the first fraction by $\frac{20}{20}$ to get $\frac{20}{20} + \frac{9}{20} = \frac{29}{20}$.
This is the simplest fraction that is equivalent to $1.45$.