Question

ex 13 pls dau coroană.​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

$\frac{7}{5} + 1 \frac{1}{2} + \frac{3}{20} - 2 \frac{1}{4}$

$= \frac{7}{5} + \frac{1 \times 2 + 1}{2} + \frac{3}{20} - \frac{2 \times 4 + 1}{4}$

$= \frac{ {}^{4)} 7}{5} + \frac{ {}^{10)} 3}{2} + \frac{3}{20} - \frac{ {}^{5)} 9}{4}$

$= \frac{28 + 30 + 3 - 45}{20} = \frac{16 {}^{(4} }{20} = \boxed{ \frac{4}{5}}$

b)

$2 \frac{1}{4} + 3 \frac{1}{5} + \frac{3}{20} - \frac{3}{10}$

$= \frac{2 \times 4 + 1}{4} + \frac{3 \times 5 + 1}{5} + \frac{3}{20} - \frac{3}{10}$

$= \frac{{5)}^9}{4} + \frac{{4)}^16}{5} + \frac{3}{20} - \frac{{2)}^3}{10}$

$= \frac{45 + 64 + 3 - 6}{20} = \frac{106 {}^{(2} }{20} = \boxed{\frac{53}{10} }$

c)

$4 \frac{13}{16} - 2 \frac{1}{4} + 1 \frac{3}{8}$

$= \frac{4 \times 16 + 13}{16} - \frac{2 \times 4 + 1}{4} + \frac{1 \times 8 + 3}{8}$

$= \frac{77}{16} - \frac{ {}^{4)} 9}{4} + \frac{ {}^{2)} 11}{8}$

$= \frac{77 - 36 + 22}{16} = \boxed{\frac{63}{16}}$

d)

$\frac{ {}^{4)} 11}{25} - \frac{7}{100} + \frac{ {}^{20)} 1}{5} - \frac{ {}^{5)} 3}{20}$

$= \frac{44 - 7 + 20 - 15}{100} = \frac{42 {}^{(2} }{100} = \boxed{\frac{21}{50}}$

e)

$\frac{ {}^{4)} 5}{9} + \frac{ {}^{6)} 7}{6} + \frac{ {}^{9)} 9}{4} + \frac{6}{36}$

$= \frac{20 + 42 + 81 + 6}{36} = \boxed{\frac{149}{36}}$

f)

$\frac{ {}^{2)} 7}{150} + \frac{ {}^{6)} 11}{50} + \frac{1}{300} + \frac{ {}^{3)} 23}{100}$

$= \frac{14 + 66 + 1 + 69}{ 300} = \frac{150 {}^{(150} }{300} = \boxed{\frac{1}{2} }$