ASVAB · Fractions, Decimals, and Percentages

What is 3/4 + 1/3?

Correct answer

13/12

  1. A 13/12
  2. B 1/12
  3. C 4/7
  4. D 4/12

Why this is the answer

To add fractions with different denominators, find the common denominator. Least common multiple of 4 and 3 is 12. Convert: 3/4 = 9/12 (multiply by 3/3), 1/3 = 4/12 (multiply by 4/4). Add: 9/12 + 4/12 = 13/12. The answer is 13/12 or 1 1/12 as a mixed number. Common mistakes: adding numerators and denominators directly (3+1)/(4+3) = 4/7 — wrong. Adding without common denominator is invalid. Quick check: 3/4 is 0.75 and 1/3 is about 0.33, so the sum should be about 1.08. 13/12 ≈ 1.083 ✓. The ASVAB tests fundamentals of fractions: adding, subtracting, multiplying, dividing. Remember: multiply fractions straight across (numerator × numerator, denominator × denominator), divide by multiplying by the reciprocal.
Source: ASVAB AR — Fraction Operations

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About this topic: Fractions, Decimals, and Percentages

Fractions, decimals and percentages appear in nearly every ASVAB maths section. These questions cover converting between the three forms, finding a percentage of a number, percent change and operations with mixed numbers. This is one of 10 Arithmetic Reasoning questions on fractions, decimals, and percentages, each with a full explanation on a single study page.

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