Let's solve the expression step by step.

Given expression:

$-1\frac{60}{100} + 0.1 + \frac{1}{4}$

Step 1: Simplify the fractional term $-1\frac{60}{100}$

First, convert $\frac{60}{100}$ to a decimal:

$\frac{60}{100} = 0.6$

So,

$-1\frac{60}{100} = -1.6$

Step 2: Add the decimal numbers

Now, sum the terms:

$-1.6 + 0.1 + \frac{1}{4}$

Convert $\frac{1}{4}$ to a decimal:

$\frac{1}{4} = 0.25$

The expression becomes:

$-1.6 + 0.1 + 0.25$

Step 3: Perform the addition

First, add $-1.6$ and $0.1$:

$-1.6 + 0.1 = -1.5$

Then, add $-1.5$ and $0.25$:

$-1.5 + 0.25 = -1.25$

So, the final result is:

$\boxed{-1.25}$

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How would the expression change if the fraction $\frac{60}{100}$ were expressed in its simplest form?
2. What is the decimal equivalent of $\frac{3}{8}$, and how would it affect a similar problem?
3. How can you add and subtract fractions with different denominators?
4. How would the result change if the $\frac{1}{4}$ term was instead subtracted?
5. What is the impact of order of operations when combining fractions and decimals?

Tip: When combining fractions and decimals, it's often easier to convert everything to decimals first to simplify the calculations.