Certainly! Let's break down and solve [tex]\( 25 \frac{9}{13} \)[/tex] step-by-step.
### Step 1: Identify the Whole Number and Fractional Parts
First, identify the whole number part and the fractional part:
- The whole number part is [tex]\( 25 \)[/tex].
- The fractional part is [tex]\( \frac{9}{13} \)[/tex].
### Step 2: Convert the Fractional Part to a Decimal
To convert the fractional part [tex]\( \frac{9}{13} \)[/tex] to a decimal, divide the numerator (9) by the denominator (13):
[tex]\[ \frac{9}{13} \approx 0.6923076923076923 \][/tex]
### Step 3: Add the Whole Number and the Decimal Part
Now, add the whole number part (25) to the decimal part (0.6923076923076923):
[tex]\[ 25 + 0.6923076923076923 = 25.692307692307693 \][/tex]
### Conclusion
Therefore, the value of [tex]\( 25 \frac{9}{13} \)[/tex] as a decimal is approximately [tex]\( 25.692307692307693 \)[/tex].
To summarize:
- Whole number part: [tex]\( 25 \)[/tex]
- Fractional part as a decimal: [tex]\( 0.6923076923076923 \)[/tex]
- Total value: [tex]\( 25.692307692307693 \)[/tex]
So, [tex]\( 25 \frac{9}{13} \approx 25.692307692307693 \)[/tex].
