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 Wednesday 18th of January

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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Subtracting Fractions

Expressed in symbols, the rule for subtracting one fraction from another is as follows:

Let’s break this down to see everything that is expressed in this rule. The numerator of the sum is a Â· d - b Â· c . This is almost exactly the same as the pattern of cross-multiplying . The only difference is that because the fractions are subtracted, a minus sign now joins the a Â· d to the b Â· c .

To get the denominator of the sum, you just multiply the two denominators ( b and d ) together.

Example

Work out each of the following differences of fractions.

Solution

In the numerator, the “3” multiplies the entire quantity ( x + 2) to give 3 Â· x + 6. Note that the “ - ” sign in the numerator applies to both the 3 Â· x and the +6, giving - 3 Â· x - 6 in the numerator, not - 3 Â· x + 6.

As in the previous example, note that the “ - ” that appears in from of the x Â· ( x + 1) in the numerator applies to both the xand the x that are generated when x Â· ( x + 1) is multiplied out. This gives the - x - x that appears in the numerator, not - x+ x .