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To add or subtract fractions, or even just to compare them (verify which fraction is greater), you must first (1) find a common denominator, and (2) convert both fractions to equivalent fractions with the common denominator. Then you just add, subtract, or compare the numerators. For example, 2/3 + 1/6 = 4/6 + 1/6 = 5/6.

To multiply fractions, multiply the numerators and denominators separately. For example, 1/3 times 2/5 = (1x2)/(3x5) = 2/15. To divide fractions, multiply the first fraction by the reciprocal (multiplicative inverse) of the second fraction. If the fraction consists only of the numerator, you get the reciprocal by exchanging numerator and denominator. For example, 1/3 divided by 2/5 = 1/3 times 5/2.

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