Question

Calcule o valor da expressão :

$1 + ( \frac{5}{6} - \frac{1}{4} ) ( \frac{7}{3} + \frac{1}{5} )$

Answer 1

Olá,

5/6-1/4 = (10-3)/12 = 7/12

MMC (6,4) = 2×2×3 = 4×3 = 12

6,4 | 2
3,2 | 2
3,1 | 3
1,1

7/3+1/5 = (35+3)/15 = 38/15

MMC (3,5) = 15

Reescrevendo a equação:

1 + (7/12)(38/15) = 1 + (7·38)/(12·15) = 1 + 266/180

1 + 266/180 = 1 + 133/90 = (90+133)/90 = 223/90

Resposta:

223/90

Answer 2

mmc de 6, 4 = 12
mmc de 3, 5 = 15

$1 + (\dfrac{5}{6} - \dfrac{1}{4}) . (\dfrac{7}{3} + \dfrac{1}{5}) ) \\ \\ \\ 1 + \dfrac{7}{12} . \dfrac{38}{15} \\ \\ \\ 1 + \dfrac{133}{90} \\ \\ \\ =\ \textgreater \ \dfrac{223}{90}$