Solve eight and two fourths minus three and one third

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

  Converges; -8/3

Step-by-step explanation:

The formula for the sum of a geometric sequence is ...

  S = a1/(1-r)

where a1 is the first term (-4) and r is the common ratio (-1/2). Filling in these values, we get ...

  S = -4/(1 -(-1/2)) = -4(2/3) = -8/3

The series converges to a sum of -8/3.