Lösung 1.2:5c
Aus Online Mathematik Brückenkurs 1
Method 1
We calculate the numerator and denominator first
Thus, the expression becomes
and because \displaystyle 16=2\cdot 2\cdot 2\cdot 2 and \displaystyle 10=2\cdot 5, the simplified answer is
Method 2
If we look at the individual fractions 3/10, 1/5, 7/8 and 3/16, we see that the denominators can be factorized as
and therefore 2∙2∙2∙2∙5 = 80 is the fractions' lowest common denominator.
If we multiply the top and bottom of the main fraction by 80, then it will be possible to eliminate all denominators at once,
