Question

Frações:
1-Efetue as Operações:
a)1/2+2/3
b)2/5+3/7
c)9/12-3/6
d)2/9x3/14
e)7/8:14/24
f)2/3-1/5+2/6

2-Calcule o valor de cada expressão Númerica:
a)(3/4+1/2)-(1/2-1/6)+1/8
b)(7/5:3/25-2):(2/3x12/7+1)
c)(1+2/3:4/5+9/4):(3/4+7/8x5/3)

Answer 1

1 
a )

$\frac{1}{2} + \frac{2}{3} = \frac{3+4}{6} = \frac{7}{6}$

b )

$\frac{2}{5} + \frac{3}{7} = \frac{14+15}{35} = \frac{29}{35}$

c )

$\frac{9}{12} - \frac{3}{6} = \frac{9-5}{12} = \frac{4}{12} = \frac{1}{3}$

d )

$\frac{2}{9} . \frac{3}{14} = \frac{6}{126} = \frac{1}{21}$

e )

$\boxed{ \frac{ \frac{7}{8} }{ \frac{14}{24} } = \frac{7}{8} . \frac{24}{14} = \frac{168}{112}= \frac{3}{2} }$

f ) 

$\boxed{ \frac{2}{3}- \frac{1}{5} + \frac{2}{6} = \frac{20-6+10}{30} = \frac{24}{30} = \frac{12}{15} = \frac{4}{5} }$

2 )

a ) 

$( \frac{3}{4}+ \frac{1}{2} )-( \frac{1}{2 }- \frac{1}{6} )+ \frac{1}{8}$

$\boxed{ \frac{5}{4} - \frac{2}{3} + \frac{1}{8} = \frac{30-16+8}{24} = \frac{22}{24} = \frac{11}{12} }$

b)

$\boxed{\frac{( \frac{7}{5}: \frac{3}{25} -2 )}{( \frac{2}{3}. \frac{12}{7} +1 )} }$

$\frac{ \frac{35}{3}-2 }{ \frac{8}{7} +1}$

$\boxed{ \frac{( \frac{29}{3} )}{( \frac{15}{7} )} = \frac{29}{3} . \frac{7}{15} = \frac{203}{45} }$

c )

$\boxed{ \frac{1+ \frac{2}{3}: \frac{4}{5} + \frac{9}{4} }{ \frac{3}{4} + \frac{7}{8}. \frac{5}{3} } }$

$\boxed{ \frac{ \frac{49}{12} }{ \frac{53}{54} }= \frac{49}{12}. \frac{24}{53} = \frac{1176}{636} }$

Answer 2

1 - a) 1/2+2/3= 3+4/6= 7/6

b) 2/5+3/7= 14+15/35= 29/35

c) 9/12- 3/6= 9-6/12= 3/12= 1/4

d) 2/9 x 3/14 = 6/126 = 1/21

e) 7/8 : 14/24 = 168/192 = simplifica por 24 7/8

f) 2/3 - 1/5/+ 2/62 = 620-186+30/930 = 464/930

2- a) ( 3/4 +1/2) - ( 1/2 - 1/6 ) + 1/8=(3+2/4) - (3-1/6) + 1/85/4 - 2/6 + 1/830-12+3/24 = 21/24

b)(7/5:3/25-2):(2/3x12/7+1)=(175/15-2):(24/21+1)=(175-30/15):(24+21/21)=(145/15):(45/21)=29/3:15/7=203/45

c)(1+2/3:4/5+9/4):(3/4+7/8x5/3)=(1+10/12+9/4):(3/4+35/24)=(12+10+27/12):(18+35/24)=49/12:53/24=1176/636 simplifica por 12 98/53