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5 in Fraction Form

# 5 in Fraction Form

For example, \$5/week x 1 week = \$5, but \$5/day x 7 days = \$35. As a result, your first two examples would be written as, “I work five dollars per week for one week,” and “I work \$35 per day for seven days”.

### Use

Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers. (Source: www.calculator.net)

### Number

Equivalent fractions use different numbers to represent the same part of a whole, such as 2/16 and 1/8. Explore the definition and examples of equivalent fractions, and learn how to test for equivalency. Understand the roles of multiplication and division in computing equivalent fractions, and recognize how equivalent fractions can be used in addition and subtraction.

In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction (Source: en.wikipedia.org)

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