Lösung 1.2:6

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When we work with large expressions, it is often best to proceed step by step. A first step on the way can be to simplify all the parts

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We can do this by multiplying the top and bottom of each fraction by 2, 12 and 7 respectively, so as to get rid of the partial fractions

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The whole expression therefore equals

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If we multiply the tops and bottoms of the fractions 4/7, 1/2 and 21/12 in the main fraction by their lowest common denominator, \displaystyle 7\cdot 12, we obtain integers in the numerator and denominator

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By factorizing 12, 15 and 38,

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the answer can be simplified to

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