Equations+with+Fractions

Fractions Equations usually involve dividing, that is represented using numerator/denominator notation, instead of using a divided by sign. We can solve Fraction Equations using Back Tracking Flowcharts. In our example equation: n/3 + 4 = 7 we need to do the opposites of /3 and + 4 in SAMDOB or SADMEP order. This gives the solution of n = 9 as shown below. We need to be very careful doing Fractions equations. Sometimes there are minor differences between questions, and these differences are very important. Let’s look at how n + 4 / 3 = 7 is different to n/4 + 3 = 7 The equation actually does follow BODMAS order, it is just that this is a bit hidden from view. Here is how we solve n + 4 / 3 = 7 using a Back tracking Flowchart: We can see two fraction equations that looked almost the same, are in fact quite different. Fractions With Negative Values Solving Fraction Equations which contain negative values requires a certain type of understanding. We need to understand that a subtraction sign in front of an Algebra fraction is the same as dividing by a negative number. The following example shows how to do a typical negative subtraction equation that involves an Algebra Fraction. Here is the Back Tracking Flowchart solution for our equation.