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What is 2/3 times 2 1/2?

Answer
2/3 × 2 1/2 = 1 23
Fraction
53
Mixed number
1 23
Decimal
1.6 ≈ 1.66667
Percent
166.667%

Step by step

  1. Write each number as a fraction
    2 1/2 = (2 × 2 + 1)/2 = 5/2
  2. Multiply the tops, then the bottoms
    (2 × 5)/(3 × 2) = 10/6
  3. Simplify
    Divide the top and bottom by 2: 10/6 = 5/3
  4. Write it as a mixed number
    5 ÷ 3 = 1 remainder 2, so 5/3 = 1 2/3

Check: 5/3 ÷ 5/2 = 2/3 ✓

Picture

2/3
5/2
= 5/3

Each bar is one whole, split into equal parts.

Related problems

2/3 × 2/32/3 × 22/3 ÷ 3/22/3 ÷ 3/42/3 ÷ 32/3 ÷ 22/3 × 2/12/3 × 4/32/3 × 42/3 − 1/2

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    Questions people ask

    What is 2/3 times 2 1/2?

    2/3 times 2 1/2 is 1 2/3, which is 5/3 as an improper fraction. As a decimal it's 1.66667.

    How do you work out 2/3 × 2 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 2/3 times 2 1/2 as an improper fraction?

    5/3.