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Answer :
- Convert the mixed number $3 \frac{88}{100}$ to decimal: $3.88$.
- Convert the mixed number $8 \frac{1}{25}$ to decimal: $8.04$.
- The number 9.1 is already in decimal form.
- Convert the mixed number $8 \frac{1}{4}$ to decimal: $8.25$.
### Explanation
1. Understanding the Problem
We are given a list of numbers in mixed number and decimal forms: $3 \frac{88}{100}$, $8 \frac{1}{25}$, 9.1, and $8 \frac{1}{4}$. The problem asks us to convert the mixed numbers into decimal form and compare them.
2. Converting $3 \frac{88}{100}$ to Decimal
First, let's convert the mixed number $3 \frac{88}{100}$ to a decimal. We have $3 \frac{88}{100} = 3 + \frac{88}{100} = 3 + 0.88 = 3.88$.
3. Converting $8 \frac{1}{25}$ to Decimal
Next, let's convert the mixed number $8 \frac{1}{25}$ to a decimal. We have $8 \frac{1}{25} = 8 + \frac{1}{25}$. To convert the fraction to a decimal, we can multiply the numerator and denominator by 4 to get a denominator of 100: $\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100} = 0.04$. So, $8 \frac{1}{25} = 8 + 0.04 = 8.04$.
4. Decimal Form of 9.1
The number 9.1 is already in decimal form.
5. Converting $8 \frac{1}{4}$ to Decimal
Now, let's convert the mixed number $8 \frac{1}{4}$ to a decimal. We have $8 \frac{1}{4} = 8 + \frac{1}{4}$. To convert the fraction to a decimal, we can multiply the numerator and denominator by 25 to get a denominator of 100: $\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25$. So, $8 \frac{1}{4} = 8 + 0.25 = 8.25$.
6. List of Decimal Numbers
The decimal forms of the given numbers are: 3.88, 8.04, 9.1, and 8.25.
7. Final Answer and Ordering (Optional)
Assuming the goal is to order them in ascending order, we have: 3.88 < 8.04 < 8.25 < 9.1. However, without a specific question, we can only convert the given numbers to their decimal equivalents.
### Examples
Understanding mixed numbers and decimals is essential in everyday situations, such as measuring ingredients for a recipe or calculating expenses. For instance, if you need $2 \frac{1}{2}$ cups of flour and your measuring cup only shows decimals, knowing that $2 \frac{1}{2} = 2.5$ helps you measure accurately. Similarly, when comparing prices at a store, converting fractions to decimals allows you to quickly determine which item is cheaper.
- Convert the mixed number $8 \frac{1}{25}$ to decimal: $8.04$.
- The number 9.1 is already in decimal form.
- Convert the mixed number $8 \frac{1}{4}$ to decimal: $8.25$.
### Explanation
1. Understanding the Problem
We are given a list of numbers in mixed number and decimal forms: $3 \frac{88}{100}$, $8 \frac{1}{25}$, 9.1, and $8 \frac{1}{4}$. The problem asks us to convert the mixed numbers into decimal form and compare them.
2. Converting $3 \frac{88}{100}$ to Decimal
First, let's convert the mixed number $3 \frac{88}{100}$ to a decimal. We have $3 \frac{88}{100} = 3 + \frac{88}{100} = 3 + 0.88 = 3.88$.
3. Converting $8 \frac{1}{25}$ to Decimal
Next, let's convert the mixed number $8 \frac{1}{25}$ to a decimal. We have $8 \frac{1}{25} = 8 + \frac{1}{25}$. To convert the fraction to a decimal, we can multiply the numerator and denominator by 4 to get a denominator of 100: $\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100} = 0.04$. So, $8 \frac{1}{25} = 8 + 0.04 = 8.04$.
4. Decimal Form of 9.1
The number 9.1 is already in decimal form.
5. Converting $8 \frac{1}{4}$ to Decimal
Now, let's convert the mixed number $8 \frac{1}{4}$ to a decimal. We have $8 \frac{1}{4} = 8 + \frac{1}{4}$. To convert the fraction to a decimal, we can multiply the numerator and denominator by 25 to get a denominator of 100: $\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25$. So, $8 \frac{1}{4} = 8 + 0.25 = 8.25$.
6. List of Decimal Numbers
The decimal forms of the given numbers are: 3.88, 8.04, 9.1, and 8.25.
7. Final Answer and Ordering (Optional)
Assuming the goal is to order them in ascending order, we have: 3.88 < 8.04 < 8.25 < 9.1. However, without a specific question, we can only convert the given numbers to their decimal equivalents.
### Examples
Understanding mixed numbers and decimals is essential in everyday situations, such as measuring ingredients for a recipe or calculating expenses. For instance, if you need $2 \frac{1}{2}$ cups of flour and your measuring cup only shows decimals, knowing that $2 \frac{1}{2} = 2.5$ helps you measure accurately. Similarly, when comparing prices at a store, converting fractions to decimals allows you to quickly determine which item is cheaper.
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