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1.2 Exercises

From Förberedande kurs i matematik 1

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Exercise 1.2:1

Express as a single fraction

a) 47+711 b) 7251 c) 6152
d) 31+41+51 e) 78+4334


Exercise 1.2:2

Determine the lowest common denominator of

a) 61+110 b) 4181
c) 112114 d) 245+175


Exercise 1.2:3

Calculate the following by using the lowest common denominator.

a) 320+750110 b) 124+140116


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) 3104151


Exercise 1.2:5

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

a) 271115 b) 312121+31 c) \displaystyle \displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}


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}}}