Răspuns:
Explicație pas cu pas:
a)
[tex] \frac{7}{5} + 1 \frac{1}{2} + \frac{3}{20} - 2 \frac{1}{4} \\ [/tex]
[tex] = \frac{7}{5} + \frac{1 \times 2 + 1}{2} + \frac{3}{20} - \frac{2 \times 4 + 1}{4} \\ [/tex]
[tex] = \frac{ {}^{4)} 7}{5} + \frac{ {}^{10)} 3}{2} + \frac{3}{20} - \frac{ {}^{5)} 9}{4} \\ [/tex]
[tex] = \frac{28 + 30 + 3 - 45}{20} = \frac{16 {}^{(4} }{20} = \boxed{ \frac{4}{5}} \\ [/tex]
b)
[tex]2 \frac{1}{4} + 3 \frac{1}{5} + \frac{3}{20} - \frac{3}{10} \\ [/tex]
[tex] = \frac{2 \times 4 + 1}{4} + \frac{3 \times 5 + 1}{5} + \frac{3}{20} - \frac{3}{10} \\ [/tex]
[tex] = \frac{{5)}^9}{4} + \frac{{4)}^16}{5} + \frac{3}{20} - \frac{{2)}^3}{10} \\ [/tex]
[tex] = \frac{45 + 64 + 3 - 6}{20} = \frac{106 {}^{(2} }{20} = \boxed{\frac{53}{10} }\\ [/tex]
c)
[tex]4 \frac{13}{16} - 2 \frac{1}{4} + 1 \frac{3}{8} \\ [/tex]
[tex] = \frac{4 \times 16 + 13}{16} - \frac{2 \times 4 + 1}{4} + \frac{1 \times 8 + 3}{8} \\ [/tex]
[tex] = \frac{77}{16} - \frac{ {}^{4)} 9}{4} + \frac{ {}^{2)} 11}{8} \\ [/tex]
[tex] = \frac{77 - 36 + 22}{16} = \boxed{\frac{63}{16}} \\ [/tex]
d)
[tex] \frac{ {}^{4)} 11}{25} - \frac{7}{100} + \frac{ {}^{20)} 1}{5} - \frac{ {}^{5)} 3}{20} \\ [/tex]
[tex] = \frac{44 - 7 + 20 - 15}{100} = \frac{42 {}^{(2} }{100} = \boxed{\frac{21}{50}} \\ [/tex]
e)
[tex] \frac{ {}^{4)} 5}{9} + \frac{ {}^{6)} 7}{6} + \frac{ {}^{9)} 9}{4} + \frac{6}{36} \\ [/tex]
[tex] = \frac{20 + 42 + 81 + 6}{36} = \boxed{\frac{149}{36}} \\ [/tex]
f)
[tex] \frac{ {}^{2)} 7}{150} + \frac{ {}^{6)} 11}{50} + \frac{1}{300} + \frac{ {}^{3)} 23}{100} \\ [/tex]
[tex] = \frac{14 + 66 + 1 + 69}{ 300} = \frac{150 {}^{(150} }{300} = \boxed{\frac{1}{2} } \\ [/tex]
