Question

Efectuati:
a) 4/63 + 1/18 - (2/5) × 5/7
b) (1 + 3/2 × 5/2) ÷ 6 - 1
c) (12/35 - 7/20) × (-1 - 1/6)
d) (6/32 + 5/24) × 30/38 - 1/8
e) 3-2 ÷ (5/8 × 12/15) + (1/3)totul la puterea a 2-a
f) 5/6 ÷ 1/3 ÷ (12/8 - 5/6)

Answer 1

Explicație pas cu pas:

a) 4/63+1/18-2/7=8/126+7/126-36/126=-21/126=-7/42=-1/6

b) (1+15/4):6-1=(4/4+15/4):6-1=19/4•1/6-1=19/24-24/24=-5/24

c) (48/140-49/140)•(-6/6-1/6)=-1/140•(-7/6)=1/140•7/6=1/120

d) (18/96+20/96)•30/38-1/8=38/96•30/38-1/8=5/16-1/8=5/16-2/16=3/16

e) 3-2:1/2+1/9=27/9-2•2+1/9=28/9-4=28/9-36/9=-8/9

f) 5/6•3:(36/24-20/24)=5/2:16/24=5/2:2/3=5/2•3/2=15/4

Answer 2

a ) 4 / 63 + 1 / 18 - 2 / 5 × 5 / 7

4 / 63 + 1 / 18 - 2 × 1 / 7

4 / 63 + 1 / 18 - 2 / 7

- 1 / 6

b ) ( 1 + 3 / 2 × 5 / 2 ) : 6 - 1

( 1 + 15 / 4 ) × 1 / 6 - 1

19/4 × 1 / 6 - 1

19 / 24 - 1

- 5 / 24

c ) ( 12 / 35 - 7 / 20 ) × ( - 1 - 1 / 6 )

12 / 35 - 7 / 20 × ( - 7 / 6 )

12 / 35 + 49 / 120

631 / 840

d ) ( 6 / 32 + 5 / 24 ) × 30 / 38 - 1 / 8

19 / 48 × 30 / 38 - 1 / 8

1 / 8 × 5 / 2 - 1 / 8

5 / 16 - 1 / 8

3 / 16

e ) 3 - 2 : ( 5 / 8 × 12 / 15 ) + ( 1 / 3 ) ^ 2

3 - 2 : ( 1 / 2 × 3 / 3 ) + 1 / 9

3 - 2 : 1 / 2 + 1 / 9

3 - 2 × 2 + 1 / 9

3 - 4 + 1 / 9

- 1 + 1 / 9

- 8 / 9

f ) 5 / 6 : 1 / 3 : ( 12 / 8 - 5 / 6 )

5 / 6 × 3 : 2 / 3

5 / 2 × 3 / 2

15 / 4