Answer :
Sure! Let's solve the problem step by step.
We start with the expression:
[tex]\[ -2 + \frac{12}{25} \][/tex]
We want to evaluate this expression to see if it equals [tex]\(-\frac{38}{25}\)[/tex].
### Step 1: Calculate [tex]\(-2 + \frac{12}{25}\)[/tex]
1. Convert [tex]\(-2\)[/tex] to a fraction with a denominator of 25:
[tex]\[
-2 = -\frac{50}{25}
\][/tex]
2. Add the fractions:
[tex]\[
-\frac{50}{25} + \frac{12}{25} = \frac{-50 + 12}{25} = \frac{-38}{25}
\][/tex]
### Step 2: Compare the Result to [tex]\(-\frac{38}{25}\)[/tex]
Both sides are [tex]\(-\frac{38}{25}\)[/tex], which means they are equal.
### Conclusion
The expression [tex]\(-2 + \frac{12}{25}\)[/tex] simplifies to [tex]\(-\frac{38}{25}\)[/tex], confirming that the original calculation was correct. Therefore, the answer to the expression is indeed [tex]\(-\frac{38}{25}\)[/tex], which can also be written as the decimal [tex]\(-1.52\)[/tex].
We start with the expression:
[tex]\[ -2 + \frac{12}{25} \][/tex]
We want to evaluate this expression to see if it equals [tex]\(-\frac{38}{25}\)[/tex].
### Step 1: Calculate [tex]\(-2 + \frac{12}{25}\)[/tex]
1. Convert [tex]\(-2\)[/tex] to a fraction with a denominator of 25:
[tex]\[
-2 = -\frac{50}{25}
\][/tex]
2. Add the fractions:
[tex]\[
-\frac{50}{25} + \frac{12}{25} = \frac{-50 + 12}{25} = \frac{-38}{25}
\][/tex]
### Step 2: Compare the Result to [tex]\(-\frac{38}{25}\)[/tex]
Both sides are [tex]\(-\frac{38}{25}\)[/tex], which means they are equal.
### Conclusion
The expression [tex]\(-2 + \frac{12}{25}\)[/tex] simplifies to [tex]\(-\frac{38}{25}\)[/tex], confirming that the original calculation was correct. Therefore, the answer to the expression is indeed [tex]\(-\frac{38}{25}\)[/tex], which can also be written as the decimal [tex]\(-1.52\)[/tex].