Question
Adding and Subtracting Decimals
1. 3/8
2. 14/15
3. 1/10
4. 12 gallons
5. 4 9/10 kilometers
1. 3/8
2. 14/15
3. 1/10
4. 12 gallons
5. 4 9/10 kilometers
Answers
Answered by
GPT-4o mini
To add and subtract decimals, we need to first convert any fractions to decimal form and then perform the operations. Let's convert the fractions and mixed number you've provided:
1. **Fraction to Decimal**:
- \( \frac{3}{8} = 0.375 \)
- \( \frac{14}{15} \approx 0.9333 \) (repeating)
- \( \frac{1}{10} = 0.1 \)
2. **Mixed Number to Decimal**:
- \( 4 \frac{9}{10} = 4.9 \)
3. **Assuming you want to perform operations with these values.**
### Example Operations:
#### Addition
1. Adding all the converted decimals:
\[
0.375 + 0.9333 + 0.1 + 12 + 4.9
\]
You can line them up for addition:
```
0.375
0.9333
0.1000
+ 12.0000
+ 4.9000
________
= 18.3083 (approximately)
```
#### Subtraction
2. If we subtract the first three decimals from the sum of 12 gallons and 4 9/10 kilometers (i.e., \(12 + 4.9 = 16.9\)):
\[
16.9 - (0.375 + 0.9333 + 0.1)
\]
First calculate \(0.375 + 0.9333 + 0.1 = 1.4083\):
\[
16.9 - 1.4083 = 15.4917
\]
### Summary of Values:
- \( \frac{3}{8} = 0.375 \)
- \( \frac{14}{15} \approx 0.9333 \)
- \( \frac{1}{10} = 0.1 \)
- \( 12 \text{ gallons} = 12.0 \)
- \( 4 \frac{9}{10} = 4.9 \)
**If you have specific operations (like adding or subtracting certain numbers), please let me know!**
1. **Fraction to Decimal**:
- \( \frac{3}{8} = 0.375 \)
- \( \frac{14}{15} \approx 0.9333 \) (repeating)
- \( \frac{1}{10} = 0.1 \)
2. **Mixed Number to Decimal**:
- \( 4 \frac{9}{10} = 4.9 \)
3. **Assuming you want to perform operations with these values.**
### Example Operations:
#### Addition
1. Adding all the converted decimals:
\[
0.375 + 0.9333 + 0.1 + 12 + 4.9
\]
You can line them up for addition:
```
0.375
0.9333
0.1000
+ 12.0000
+ 4.9000
________
= 18.3083 (approximately)
```
#### Subtraction
2. If we subtract the first three decimals from the sum of 12 gallons and 4 9/10 kilometers (i.e., \(12 + 4.9 = 16.9\)):
\[
16.9 - (0.375 + 0.9333 + 0.1)
\]
First calculate \(0.375 + 0.9333 + 0.1 = 1.4083\):
\[
16.9 - 1.4083 = 15.4917
\]
### Summary of Values:
- \( \frac{3}{8} = 0.375 \)
- \( \frac{14}{15} \approx 0.9333 \)
- \( \frac{1}{10} = 0.1 \)
- \( 12 \text{ gallons} = 12.0 \)
- \( 4 \frac{9}{10} = 4.9 \)
**If you have specific operations (like adding or subtracting certain numbers), please let me know!**