Question

1° Calcule:
a) 2/5 • 5/4=

b) 2/5 • 3/2 • 4/3=

c) (1/5 + 3/5) • (2/3 • 1/3)=

d) 4/5 : 2/9 =

e) 8/15 : 6/25=

f) (2/5 + 3/5) : (4/3 - 1/3)=

2° Efetue:
a) (3/4)²=

b) (1/2)⁴=

c) (4/3)² - (1/2)⁴=

3° Resolva:
a) 2/3 + 1/4 + 1/3=

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Answer 1

Resposta:

1º

a) 1/2

b) 4/5

c) 4/5

d) 18/5

e) 20/9

f) 1

2º

a) 9/16

b) 1/16

c) 135/144

3º

a)13/12

Explicação passo a passo:

1º

a) 2/5 x 5/4 = 2*5/5*4 = 10/20 = 1/2

b) 2/5 x 3/2 x 4/3 = 2*3*4/5*2*3 = 4/5

c) (1/5 + 3/5) x (2/3 * 1/3) = (1+3/5) x (2+1/3) = 4/5 x 3/3 = 4/5

d) 4/5 : 2/9 = 4/5 x 9/2 = 36/10 = 18/5

e) 8/15 : 6/25 = 8/15 x 25/6 = 8/3 x 5/6 = 40/18 = 20/9

f) (2/5 + 3/5) : (4/3 - 1/3) = (2+3/5) : (4-1/3) = 5/5 : 3/3 = 1/1 = 1

2º

a) (3/4)² = 3²/4² = 9/16

b) (1/2)⁴ = 1⁴/2⁴ = 1/16

c) (4/3)² - (1/2)⁴ = (4²/3²) - (1⁴/2⁴) = 16/9 - 1/16 = (16*9 - 9)/144 = 144-9/144 = 135/144

3º

a) 2/3 + 1/4 + 1/3 = (4*2 + 1 + 4)/12 = 13/12