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1.2 Exercises

From Förberedande kurs i matematik 1

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       Theory          Exercises      


Exercise 1.2:1

Express as a single fraction

a) 47+711 b) 72−51 c) 61−52
d) 31+41+51 e) 78+43−34

Answer | Solution a | Solution b | Solution c | Solution d | Solution e


Exercise 1.2:2

Determine the lowest common denominator of

a) 61+110 b) 41−81
c) 112−114 d) 245+175

Answer | Solution a | Solution b | Solution c | Solution d


Exercise 1.2:3

Calculate the following by using the lowest common denominator.

a) 320+750−110 b) 124+140−116

Answer | Solution a | Solution b


Exercise 1.2:4

Simplify the following by writing each part as one fraction. The fraction should be in the simplest possible form.

a) 53710 b) 8372 c) 31041−51

Answer | Solution a | Solution b | Solution c


Exercise 1.2:5

Simplify the following by writing each part as one fraction. The fraction should be in the simplest possible form.

a) 271−115 b) 31−2121+31 c) \displaystyle \displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}

Answer | Solution a | Solution b | Solution c


Exercise 1.2:6

Simplify \displaystyle \ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}

Answer | Solution

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