Add simple decimals and express the sum cleanly: Evaluate (0.6 + 0.7 + 0.8 + 0.3) and select an equivalent exact form.

Difficulty: Easy

Correct Answer: 12/5

Explanation:


Introduction / Context:
This exercise reinforces decimal addition and equivalence between decimals and fractions in simplest form.



Given Data / Assumptions:

  • Add 0.6, 0.7, 0.8, and 0.3.
  • Provide an exact expression of the result, possibly as a reduced fraction.


Concept / Approach:
Group tenths to make whole numbers where possible, then convert the decimal total to a fraction by recognizing tenths equivalences.



Step-by-Step Solution:

0.6 + 0.4 = 1.0 (we can pair 0.6 with part of 0.7 and 0.3)Remaining after using 0.4 from (0.7 + 0.3) is 0.6Total = 1.0 + 0.6 + 0.8 = 2.42.4 as a fraction = 24/10 = 12/5


Verification / Alternative check:
Add directly: 0.6 + 0.7 = 1.3; 1.3 + 0.8 = 2.1; 2.1 + 0.3 = 2.4. Then express 2.4 = 12/5.



Why Other Options Are Wrong:
23/10 = 2.3 and 233/100 = 2.33 are close but not equal to 2.4. 2.33 is a decimal approximation not matching. 22/3 ≈ 7.33 is far off.



Common Pitfalls:
Misplacing a decimal or assuming 0.6 + 0.7 = 1.2 (incorrect); the correct is 1.3. Always align tenths correctly.



Final Answer:
12/5

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