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What is 1/3 times 3 1/2?

Answer
1/3 × 3 1/2 = 1 16
Fraction
76
Mixed number
1 16
Decimal
1.16 ≈ 1.16667
Percent
116.667%

Step by step

  1. Write each number as a fraction
    3 1/2 = (3 × 2 + 1)/2 = 7/2
  2. Multiply the tops, then the bottoms
    (1 × 7)/(3 × 2) = 7/6
  3. Write it as a mixed number
    7 ÷ 6 = 1 remainder 1, so 7/6 = 1 1/6

Check: 7/6 ÷ 7/2 = 1/3 ✓

Picture

1/3
7/2
= 7/6

Each bar is one whole, split into equal parts.

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    Questions people ask

    What is 1/3 times 3 1/2?

    1/3 times 3 1/2 is 1 1/6, which is 7/6 as an improper fraction. As a decimal it's 1.16667.

    How do you work out 1/3 × 3 1/2?

    Turn any mixed or whole numbers into fractions, multiply the numerators and the denominators, then simplify. The steps above show each line.

    What is 1/3 times 3 1/2 as an improper fraction?

    7/6.