Question

Calculati:$a)2\frac{2}{9}-\frac{19}{15}; b)2\frac{5}{8}-\frac{47}{20}; c)3\frac{5}{6}-\frac{51}{16};d)2\frac{1}{6}-\frac{40}{27};e)3\frac{1}{6}-2\frac{3}{8}f)4\frac{2}{8}-3\frac{1}{6}.$ dau 14 pc

Answer 1

Răspuns:

Explicație pas cu pas:

a) 2 2/9 = (2·9+2)/9 = 20/9

 2 2/9 - 19/15 = ¹⁵⁾20/9 - ⁹⁾19/15 = (300-171)/135 = 129/135⁽³ =

= 43/45

b) 2 5/8 = (2·8+5)/8 = 21/8

2 5/8 - 47/20 = ⁵⁾21/8 - ²⁾47/20 = (105-94)/40 = 11/40

c) 3 5/6 = (3·6+5)/6 = 21/6

3 5/6 - 51/16 = ⁸⁾21/6 - ³⁾51/16 = (168-153)/48 = 15/48⁽³ = 5/16

d) 2 1/6 = (2·6+1)/6 = 13/6

2 1/6 -40/27 = ⁹⁾13/6 - ²⁾40/27 = (117-80)/54 = 37/54

e) 3 1/6 = (3·6+1)/6 = 19/6

   2 3/8 = (2·8+3)/8 = 19/8

3 1/6 - 2 3/8 = ⁴⁾19/6 - ³⁾19/8 = (76-57)/24 = 19/24

f) 4 2/8 = (4·8+2)/8 = 34/8⁽² = 17/4

  3 1/6 = (3·6+1)/6 = 19/6

4 2/8 - 3 1/6 = ³⁾17/4 -²⁾19/6 = (51-38)/12 = 13/12