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.

Learn how to solve the arithmetic expression -1 60/100 + 0.1 + 1/4 step-by-step. This problem involves arithmetic operations with decimals and fractions, suitable for students in Grades 5-7.

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