Question

1). -8 1/3 + (-3 5/6) 2). -8 + (+4 3/7)

Answer 1

1)
$-8\frac13+(-3\frac56)=-8\frac13-3\frac56=$
$=-8-3-\frac13-\frac56=-11-\frac26-\frac56=-11-\frac76=-12\frac16$
2)
$-8+(+4\frac37)=-8+4\frac37=-8+4+\frac37=-4+\frac37=$
$=-3-\frac77+\frac37=-3-\frac47=-3\frac47$

Answer 2

1) Let's simplify the expression -8 + 1/3 + (-3 + 5/6):

First, let's simplify the addition and subtraction inside the parentheses (-3 + 5/6): -3 + 5/6 = -18/6 + 5/6 = (-18 + 5)/6 = -13/6

Now, we have -8 + 1/3 + (-13/6). To add fractions, we need a common denominator. The least common multiple (LCM) of 3 and 6 is 6, so let's convert 1/3 to a fraction with a denominator of 6: 1/3 = (1/3) * (2/2) = 2/6

Now we have -8 + 2/6 + (-13/6). Adding the fractions: -8 + 2/6 + (-13/6) = -8 + 2/6 - 13/6 = (-8 + 2 - 13)/6 = -19/6

Therefore, the simplified expression is -19/6.

2) Now let's simplify the expression -8 + (+4 + 3/7):

Inside the parentheses, we have +4 + 3/7. To add the whole number and fraction, we need a common denominator. The least common multiple (LCM) of 1 and 7 is 7, so let's convert 4 to a fraction with a denominator of 7: 4 = (4/1) * (7/7) = 28/7

Now we have -8 + (28/7 + 3/7). Adding the fractions: 28/7 + 3/7 = (28 + 3)/7 = 31/7

Therefore, the simplified expression is -8 + 31/7.

Please note that the simplified expressions are in fractional form. If you need a decimal approximation, you can divide the numerator by the denominator.