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Operations with rational numbers (fractions and decimals, positive and negative)

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Learn it A rational number is any number that can be written as a fraction a/b of integers, including negative fractions and decimals. Use the same rules as integers for the sign: same signs multiply or divide to a positive, different signs to a negative. To add or subtract fractions, use a common denominator. Order of operations still applies.

Example: Evaluate −2/3 + 5/6 ÷ (−1/2).

  1. Divide first: 5/6 ÷ (−1/2) = 5/6 × (−2) = −5/3.
  2. Then add: −2/3 + (−5/3) = −7/3.

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