Question

$\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12 } + \frac{9}{7} + \frac{ - 5}{16}$
Simplify and write the answer in standard form​

Answer 1

• ab×cd=acbd(b≠0;d≠0)
• ab×cd=acbd(b≠0;d≠0) ab+cb=a+cb(b≠0)
• ab×cd=acbd(b≠0;d≠0) ab+cb=a+cb(b≠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+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)

If x=−3 then the denominator, x+3=0 and the fraction is undefined.

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