Question

CALCULE as expressões e simplifique até torná-las irredutíveis:
a)3/2 : 3/8 . 1/2 =
b)1/2 + 1/3 . 2/4 =
c)21/16 : 7/8 - 2/5

Answer 1

Resolução!

= 3/2 : 3/8 . 1/2

= 3/2 . 8/3 . 1/2

= 24/12

= 2

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= 1/2 + 1/3 . 2/4

= 1/2 + 2/12 _____ MMC = 12

= 6 + 2/12

= 8/12 ÷ 4

= 2/3

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= 21/16 : 7/8 - 2/5

= 21/16 . 8/7 - 2/5

= 168/112 - 2/5 ___ MMC = 560

= 848 - 224/560

= 616/560 ÷ 56

= 11/10

Espero ter ajudado

Answer 2

Explicação passo-a-passo:

A)

$\dfrac{3}{2} \div \dfrac{3}{8} \times \dfrac{1}{2}$

$\dfrac{3}{2} \times \dfrac{8}{3} \times \dfrac{1}{2}$

$\dfrac{24}{12}$

2

B)

$\dfrac{1}{2} + \dfrac{1}{3} \times \dfrac{2}{4}$

$\dfrac{1}{2} + \dfrac{2}{12}$

$\dfrac{6 + 2}{12}$

$\dfrac{8 {}^{ \div 4} }{12 {}^{ \div 4} }$

2/3

C)

$\dfrac{21}{16} \div \dfrac{7}{8} - \dfrac{2}{5}$

$\dfrac{21}{16} \times \dfrac{8}{7} - \dfrac{2}{5}$

$\dfrac{168}{112} - \dfrac{2}{5}$

$\dfrac{840 - 224}{560}$

$\dfrac{616 {}^{ \div 56} }{560 {}^{ \div 56} }$

11/10