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### Possible Task: Simplifying a Mixed Number
Simplify the following mixed number:

[tex]\[ 25 \frac{9}{13} \][/tex]

### Possible Task: Converting a Mixed Number to an Improper Fraction
Convert the following mixed number to an improper fraction:

[tex]\[ 25 \frac{9}{13} \][/tex]

Sagot :

GinnyAnsweridn
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].
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