Question

simplify 2/5+3/7+(-6/5)+(-13/7)

Answer 1

Given: 2/5+3/7+(-6/5)+(-13/7)

To find: Simplify 2/5+3/7+(-6/5)+(-13/7)

Solution:

The first two fractions are positive and must be added. Also, the last two fractions are negative and hence, must be subtracted. So, the question can be rewritten as follows.

$\frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7}$

Now, the L.C.M. of the denominators of the given fractions is found. The L.C.M. of 5, 7, 5 and 7 is 35. Then, the denominators are made equal to one another as follows.

$\frac{14}{35} + \frac{15}{35} - \frac{42}{35} - \frac{65}{35}$

Next, the numerators are simplified and the resultant fraction is obtained.

$\frac{14}{35} + \frac{15}{35} - \frac{42}{35} - \frac{65}{35} = - \frac{78}{35}$

Therefore, 2/5+3/7+(-6/5)+(-13/7) = -78/35.

Answer 2

Step-by-step explanation:

Given: 2/5+3/7+(-6/5)+(-13/7)

To find: Simplify 2/5+3/7+(-6/5)+(-13/7)

Solution:

The first two fractions are positive and must be added. Also, the last two fractions are negative and hence, must be subtracted. So, the question can be rewritten as follows.

\frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7}

5

2

+

7

3

−

5

6

−

7

13

Now, the L.C.M. of the denominators of the given fractions is found. The L.C.M. of 5, 7, 5 and 7 is 35. Then, the denominators are made equal to one another as follows.

\frac{14}{35} + \frac{15}{35} - \frac{42}{35} - \frac{65}{35}

35

14

+

35

15

−

35

42

−

35

65

Next, the numerators are simplified and the resultant fraction is obtained.

\frac{14}{35} + \frac{15}{35} - \frac{42}{35} - \frac{65}{35} = - \frac{78}{35}

35

14

+

35

15

−

35

42

−

35

65

=−

35

78

Therefore, 2/5+3/7+(-6/5)+(-13/7) = -78/35.