Adding and Subtracting Decimals

1. 3/8
2. 14/15
3. 1/10
4. 12 gallons
5. 4 9/10 kilometers

1 answer

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

  1. 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!