Կրկնություն։ Կոտորակներ, դրական և բացասական թվեր։ 20.10.22

ա) (3 1/3 : 100) • 10 + (1/10 + 3/40) : 7/20
1/10 + 3/40 = 4/40 + 3/40 = 7/40
7/40 : 7/20 = 1/2
10/3 : 100 = 1/300 = 1/30
1/30 • 10 = 10/300 = 1/3
1/3 + 1/2 = 2/6 + 3/6 = 5/6

բ) 3/4 • (5/9 + 1/18) – (3/5 – 8/15) • 5
5/9 + 1/18 = 10/18 + 1/18 = 11/18
3/4 • 11/18 = 33/72 = 11/24
3/5 – 8/15 = 9/15 – 8/15 = 1/15
1/15 • 5 = 5/15 = 1/3
11/24 – 1/3 = 11/24 – 8/24 = 3/24 = 1/8

գ) (26 2/3 : 6 2/5) • (19 1/5 : 9 5/9) + (15 1/2 – 6 1/2) : 3
80/3 : 32/5 = 400/96 = 25/6
19 1/5 : 9 5/9 = 96/5 : 86/9 = 48/5 : 43/9 = 864/430
15 1/2 – 6 1/2 = 31/2 – 13/2 = 18/2 = 9
9 : 3 = 3
25/6 • 864/430 = 21600/2580 = 360/43
360/43 + 3 = 1080/129 + 387/129 = 1467/129 = 489/43

ա) (-4 3/10) + (-6 4/5) = (-43/10) + (-34/5) = -43/10 + (-68/10) = -111/10
ե) (+9 1/5) + (-16 1/2) = 46/5 + (-33/2) = 92/10 + (-165/10) = -165/10 – 92/10 = -73/10
թ) (+3 3/7) + (-5 4/7) = 24/7 + (-39/7) = -15/7

ա) (-7/8) : (+5/16) = -112/40 = 56/20
գ) (-4 3/4) : (+1 9/10) = -19/4 : 19/10 = 5/2
ե) (17 3/8) : (-16 7/16) = 139/8 : 263/16 = 2224/2104 = 556/526

1/2 = 0,5
4/5 = 0,8
-9/25 = -0,36
-17/4 = -4,25
29/20 = 1,45
201/200 = 1,005
-303/250 = -1,212

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