Evaluate the sum of decimals and express the result in simplest form as needed: 0.3 + 0.6 + 0.7 + 0.8 = ?

Difficulty: Easy

Correct Answer: 12/5

Explanation:

Introduction / Context:Adding decimal numbers accurately and, if desired, converting the result to a fraction in simplest form is a foundational arithmetic skill. The task reinforces place-value alignment and fraction-decimal equivalence.

Given Data / Assumptions:

  • Decimals to add: 0.3, 0.6, 0.7, 0.8.
  • No rounding is necessary; each term has one decimal place.

Concept / Approach:Add decimals directly by place value, then convert the final decimal to a fraction in lowest terms to match the answer choice format if needed.

Step-by-Step Solution:

0.3 + 0.6 = 0.90.9 + 0.7 = 1.61.6 + 0.8 = 2.4Convert 2.4 to a fraction: 2.4 = 24/10 = 12/5

Verification / Alternative check:As fractions: 3/10 + 6/10 + 7/10 + 8/10 = 24/10 = 12/5. Same result.

Why Other Options Are Wrong:

  • 23/10 (2.3), 239/100 (2.39), 5/2 (2.5), 53/10 (5.3): None equals the correct sum 2.4.

Common Pitfalls:

  • Miscalculating 0.9 + 0.7 as 1.5 instead of 1.6.
  • Forgetting to simplify the fraction 24/10 to 12/5.

Final Answer:12/5

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