[tex]Simplify. \\\frac{x^2}{2x} -\frac{3x}{2x} -\frac{2}{2x}[/tex]
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[tex]Simplify. \\\frac{x^2}{2x} -\frac{3x}{2x} -\frac{2}{2x}[/tex]
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1.8 Simplification of fractions
Textbooks
Mathematics Grade 10
Algebraic expressions
1.8 Simplification of fractions
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Interactive Exercises
Exercise 1.23
Exercise 1.24
Exercise 1.25
Exercise 1.26
1.8 Simplification of fractions (EMAQ)
We have studied procedures for working with fractions in earlier grades.
ab×cd=acbd(b≠0;d≠0)ab×cd=acbd(b≠0;d≠0)
ab+cb=a+cb(b≠0)ab+cb=a+cb(b≠0)
ab÷cd=ab×dc=adbc(b≠0;c≠0;d≠0)ab÷cd=ab×dc=adbc(b≠0;c≠0;d≠0)
Note: dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
In some cases of simplifying an algebraic expression, the expression will be a fraction. For example,
x2+3xx+3x2+3xx+3
has a quadratic binomial in the numerator and a linear binomial in the denominator. We have to apply the different factorisation methods in order to factorise the numerator and the denominator before we can simplify the expression.
x2+3xx+3=x(x+3)x+3=x(x≠−3)x2+3xx+3=x(x+3)x+3=x(x≠−3)
If x=−3