Question

-1 3/10 + 2 1/5

Answer 1

?

Answer 2

so it would be in fraction, 9/10? or -9/10?

Answer 3

To add the two mixed numbers \(-1 \frac{3}{10}\) and \(2 \frac{1}{5}\), we can follow these steps:

1. Convert the mixed numbers to improper fractions.
2. Find a common denominator.
3. Add the fractions.
4. Convert back to a mixed number if necessary.

### Step 1: Convert to Improper Fractions

\(-1 \frac{3}{10}\):
- The improper fraction can be calculated as:
\[
-1 \frac{3}{10} = -\left(1 \times 10 + 3\right)/10 = -\frac{13}{10}
\]

\(2 \frac{1}{5}\):
- The improper fraction can be calculated as:
\[
2 \frac{1}{5} = 2 \times 5 + 1/5 = \frac{11}{5}
\]

### Step 2: Find a Common Denominator

The denominators are \(10\) and \(5\). The least common denominator (LCD) is \(10\).

Convert \(\frac{11}{5}\) to a fraction with a denominator of \(10\):
\[
\frac{11}{5} = \frac{11 \times 2}{5 \times 2} = \frac{22}{10}
\]

### Step 3: Add the Fractions

Now we can add the fractions:
\[
-\frac{13}{10} + \frac{22}{10} = \frac{-13 + 22}{10} = \frac{9}{10}
\]

### Step 4: Convert Back to a Mixed Number

\(\frac{9}{10}\) is already a proper fraction and can be expressed as:
\[
\frac{9}{10} = 0 \frac{9}{10}
\]
This is just \(0.9\) in decimal form.

Thus, the final result of \(-1 \frac{3}{10} + 2 \frac{1}{5}\) is:
\[
\frac{9}{10}
\] or equivalently in decimal format, \(0.9\).

Answer 4

Apologies if my previous explanation wasn't clear or if you were looking for something specific. Let's walk through the calculation of \(-1 \frac{3}{10} + 2 \frac{1}{5}\) again clearly step by step.

### Step 1: Convert Mixed Numbers to Improper Fractions

1. **Convert \(-1 \frac{3}{10}\)**:
- To convert \(-1 \frac{3}{10}\) to an improper fraction:
\[
-1 \frac{3}{10} = -\left(1 \times 10 + 3\right)/10 = -\frac{13}{10}
\]

2. **Convert \(2 \frac{1}{5}\)**:
- To convert \(2 \frac{1}{5}\) to an improper fraction:
\[
2 \frac{1}{5} = \left(2 \times 5 + 1\right)/5 = \frac{11}{5}
\]

### Step 2: Find a Common Denominator

The denominators of the two fractions are \(10\) and \(5\). The least common denominator (LCD) is \(10\).

Convert \(\frac{11}{5}\) to have a denominator of \(10\):
\[
\frac{11}{5} = \frac{11 \times 2}{5 \times 2} = \frac{22}{10}
\]

### Step 3: Add the Fractions

Now we can add the fractions:
\[
-\frac{13}{10} + \frac{22}{10} = \frac{-13 + 22}{10} = \frac{9}{10}
\]

### Step 4: Result

The result of \(-1 \frac{3}{10} + 2 \frac{1}{5}\) is:
\[
\frac{9}{10}
\]

This improper fraction can also be represented as \(0.9\) in decimal form.

If you require further clarification or help with a different aspect of the problem, please let me know!

Answer 5

The result of the calculation \(-1 \frac{3}{10} + 2 \frac{1}{5}\) is:

\[
\frac{9}{10}
\]

This means the result is positive, not negative.

To summarize:

- When you add \(-1 \frac{3}{10}\) (which is \(-\frac{13}{10}\)) and \(2 \frac{1}{5}\) (which is \(\frac{22}{10}\)), the total is:

\[
-\frac{13}{10} + \frac{22}{10} = \frac{9}{10}
\]

So, the answer is \(\frac{9}{10}\).