Exercises with fractions

As it is already known, the main operations of arithmetic are addition, subtraction, multiplication and division, and it could not be different for fractions, in that sense, below is a varied number of simple exercises with fractions to account for the way to approach this kind of operations:

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Exercise 1:

$\frac{1}{2}+\frac{2}{3}=$
$\frac{1}{2}+\frac{2}{3}=\frac{\mathrm{1*3+2*2}}{\mathrm{2*3}}=\frac{\mathrm{3+4}}{6}=\frac{7}{6}$

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Exercise 2:

$\frac{4}{2}+\frac{5}{2}=\frac{\mathrm{4+5}}{2}=\frac{9}{2}$

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Exercise 3:

$\frac{12}{5}–\frac{3}{7}=\frac{\mathrm{12*7-5*3}}{\mathrm{5*7}}=\frac{\mathrm{84-15}}{\mathrm{35}}=\frac{69}{\mathrm{35}}$

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Exercise 4:

$\frac{45}{\mathrm{10}}–\frac{2}{\mathrm{10}}=\frac{\mathrm{45-2}}{\mathrm{10}}=\frac{43}{\mathrm{10}}$

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Exercise 5:

$\mathrm{11}+\frac{2}{\mathrm{10}}=\frac{11}{1}+\frac{2}{\mathrm{10}}=\frac{\mathrm{11*10+1*2}}{\mathrm{10*1}}=\frac{}{}$
$\mathrm{11}+\frac{2}{\mathrm{10}}=\frac{\mathrm{110+2}}{\mathrm{10}}=\frac{112}{\mathrm{10}}$

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Exercise 6:

$\frac{6}{\mathrm{13}}–8=\frac{6}{\mathrm{13}}–\frac{8}{1}=\frac{\mathrm{6*1-13*8}}{\mathrm{13*1}}=\frac{\mathrm{6-104}}{\mathrm{13}}=$
$\frac{6}{\mathrm{13}}–8=\frac{-98}{\mathrm{13}}$

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Exercise 7:

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Exercise 8:

$\frac{1}{2}÷\frac{8}{6}=\frac{\mathrm{1*6}}{\mathrm{2*8}}=\frac{6}{\mathrm{16}}$

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Of course they are just very simple exercises, but of course it doesn’t end here, in fact there will be a 2nd and third part of all kinds of exercises with the basic operations, these are simply an introduction to what is to come.