Question

1)Efetue as operações indicadas e simplifique se possível.

a)1/4 + 5/4 =

b)7/9 + 1/9 =

c)18/11 + 4/11 =

d)1/4 + 1/2 =

e)2/8 + 1/4 =

f)1/4 - 1/6 =

g)1/3 + 2/3 + 4/3 =

h)9/4 - 1/4 - 3/4 =

i)4/5 + 5/2 + 5/6 =



Urgente, é pra hoje!!
Valendo 15 pontos!!!
j)8/15 + 4/15 + 1/5 =​

Answer 1

Resposta:

a= 6/4 simplifique por 2

b= 8/9

c= 22/11

d= 3/4

e= 4/8 simplifique por 2

f=1/12

g = 7/3

h = 5/4

i = 124/30  simplifique 2

j=15/15 = 1

Explicação passo-a-passo:

Answer 2

Explicação passo-a-passo:

a)

$\sf \dfrac{1}{4}+\dfrac{5}{4}$

$\sf =\dfrac{1+5}{4}$

$\sf =\dfrac{6}{4}$

$\sf =\dfrac{6\div2}{4\div2}$

$\sf =\red{\dfrac{3}{2}}$

b)

$\sf \dfrac{7}{9}+\dfrac{1}{9}$

$\sf =\dfrac{7+1}{9}$

$\sf =\red{\dfrac{8}{9}}$

c)

$\sf \dfrac{18}{11}+\dfrac{4}{11}$

$\sf =\dfrac{18+4}{11}$

$\sf =\dfrac{22}{11}$

$\sf =\red{2}$

d)

$\sf \dfrac{1}{4}+\dfrac{1}{2}$

$\sf mmc(4,2)=4$

$\sf \dfrac{1}{4}+\dfrac{1}{2}$

$\sf =\dfrac{1\cdot1+2\cdot1}{4}$

$\sf =\dfrac{1+2}{4}$

$\sf =\red{\dfrac{3}{4}}$

e)

$\sf \dfrac{2}{8}+\dfrac{1}{4}$

$\sf mmc(8,4)=8$

$\sf \dfrac{2}{8}+\dfrac{1}{4}$

$\sf =\dfrac{1\cdot2+2\cdot1}{8}$

$\sf =\dfrac{2+2}{8}$

$\sf =\dfrac{4}{8}$

$\sf =\dfrac{4\div4}{8\div4}$

$\sf =\red{\dfrac{1}{2}}$

f)

$\sf \dfrac{1}{4}-\dfrac{1}{6}$

$\sf mmc(4,6)=12$

$\sf \dfrac{1}{4}-\dfrac{1}{6}$

$\sf =\dfrac{3\cdot1-2\cdot1}{12}$

$\sf =\dfrac{3-2}{12}$

$\sf =\red{\dfrac{1}{12}}$

g)

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

$\sf =\dfrac{1+2+4}{3}$

$\sf =\red{\dfrac{7}{3}}$

h)

$\sf \dfrac{9}{4}-\dfrac{1}{4}-\dfrac{3}{4}$

$\sf =\dfrac{9-1-3}{4}$

$\sf =\red{\dfrac{5}{4}}$

i)

$\sf \dfrac{4}{5}+\dfrac{5}{2}+\dfrac{5}{6}$

$\sf mmc(2,5,6)=30$

$\sf \dfrac{4}{5}+\dfrac{5}{2}+\dfrac{5}{6}$

$\sf =\dfrac{6\cdot4+15\cdot5+5\cdot5}{30}$

$\sf =\dfrac{24+75+25}{30}$

$\sf =\dfrac{124}{30}$

$\sf =\dfrac{124\div2}{30\div2}$

$\sf =\red{\dfrac{62}{15}}$

j)

$\sf \dfrac{8}{15}+\dfrac{4}{15}+\dfrac{1}{5}$

$\sf mmc(5,15)=15$

$\sf \dfrac{8}{15}+\dfrac{4}{15}+\dfrac{1}{5}$

$\sf =\dfrac{8\cdot1+4\cdot1+3\cdot1}{15}$

$\sf =\dfrac{8+4+3}{15}$

$\sf =\dfrac{15}{15}$

$\sf =\red{1}$