Question

Add the following. rational numbers please awnser and show tthe working to please
a. 3/−5and 5/7
b. 2/9and 5/8
c. −2 1/3+ 4 3/5
d. 16/9+ 5/−12+ −7/18

Answer 1

Step-by-step explanation:

a. (3/-5)+(5/7)

= -21+25/35

=4/35

b. 2/9+5/8

=16+45/72

=61/72

c. (-21/3)+(43/5)

=-105+129/15

=24/15

=6/5

d. 16/9+5/-12+-7/18

=

take lcm in all second step in each problem

Answer 2

Answer:

a. 4/35

b. 61/72

c. 34/15

d. 35/36

Step-by-step explanation:

a. 3/-5 and 5/7

$\frac{3}{ - 5} + \frac{5}{7 } \\ = \frac{ - 21 + 25}{35} \\ = \frac{4}{35}$

b. 2/9 and 5/8

$\frac{2}{9} + \frac{5}{8} \\ = \frac{16 + 45}{72} \\ = \frac{61}{72}$

c. -2 1/3 and 4 3/5

$- 2 \frac{1}{3} + 4 \frac{3}{5} \\ = \frac{ - 7}{3} + \frac{23}{5} \\ = \frac{ - 35 + 69}{15} \\ = \frac{34}{15}$

d. 16/9 and 5/-12 and -7/18

$\frac{16}{9} + \frac{5}{ - 12} + \frac{ - 7}{18} \\ = \frac{128 + ( - 30) + ( - 28)}{72} \\ = \frac{128 - 30 - 28}{72} \\ = \frac{128 - 58}{72} \\ = \frac{70}{72} \\ = \frac{35}{36}$