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What is 1/2 divided by 1/5?

Answer
1/2 ÷ 1/5 = 2 12
Fraction
52
Mixed number
2 12
Decimal
2.5
Percent
250%

Step by step

  1. Keep, change, flip
    Keep the first fraction, change ÷ to ×, and flip the second fraction upside down:
    1/2 ÷ 1/5 = 1/2 × 5/1
  2. Multiply the tops, then the bottoms
    (1 × 5)/(2 × 1) = 5/2
  3. Write it as a mixed number
    5 ÷ 2 = 2 remainder 1, so 5/2 = 2 1/2

Check: 5/2 × 1/5 = 1/2 ✓

Picture

1/2
1/5
= 5/2

Each bar is one whole, split into equal parts.

Related problems

1/5 ÷ 1/21/2 × 31/2 ÷ 21/2 × 1 2/31/2 ÷ 41/2 ÷ 31/2 × 3/11/2 × 1/31/2 + 1/41/2 × 1/4

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    Questions people ask

    What is 1/2 divided by 1/5?

    1/2 divided by 1/5 is 2 1/2, which is 5/2 as an improper fraction. As a decimal it's 2.5.

    How do you work out 1/2 ÷ 1/5?

    Keep the first fraction, change ÷ to ×, flip the second fraction, then multiply and simplify. The steps above show each line.

    What is 1/2 divided by 1/5 as an improper fraction?

    5/2.