Web Reference: Free percentage increase and decrease math topic guide, including step-by-step examples, free practice questions, teaching tips and more! If the ratio of a new quantity to an old quantity can be expressed as an improper fraction, then the new quantity is greater than the old quantity. Applying this ratio to the old quantity is known as increasing the old quantity in a given ratio. To increase a given quantity by a given ratio, use the ratio as a multiplying factor such that the numerator is greater than the denominator. 2. To decrease a given quantity by a given ratio, use the ratio as a multiplying factor such that the numerator is less than the denominator.
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