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What is 3 1/2 times 2/3?

Answer
3 1/2 × 2/3 = 2 13
Fraction
73
Mixed number
2 13
Decimal
2.3 ≈ 2.33333
Percent
233.333%

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
    (7 × 2)/(2 × 3) = 14/6
  3. Simplify
    Divide the top and bottom by 2: 14/6 = 7/3
  4. Write it as a mixed number
    7 ÷ 3 = 2 remainder 1, so 7/3 = 2 1/3

Check: 7/3 ÷ 2/3 = 7/2 ✓

Picture

7/2
2/3
= 7/3

Each bar is one whole, split into equal parts.

Related problems

3 1/2 − 2/33 1/2 × 3 1/23 1/2 × 13 1/2 × 2 1/23 1/2 ÷ 1/43 1/2 × 4 1/23 1/2 − 1 1/33 1/2 × 3/4

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    Questions people ask

    What is 3 1/2 times 2/3?

    3 1/2 times 2/3 is 2 1/3, which is 7/3 as an improper fraction. As a decimal it's 2.33333.

    How do you work out 3 1/2 × 2/3?

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

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

    7/3.