Question

-3 5/6+(-4 3/5); 5 2/9+(-2 3/4); -5 3/8+4 9/10; 2 5/8+(-1 5/12); 2 5/6+(-3 2/3); -7/8+1 3/7

Answer 1

Here are the solutions to the given addition problems:

-3 5/6 + (-4 3/5)

= -3 - 4 + (-5/6 - 3/5) [convert mixed numbers to improper fractions]

= -7 - (25/30 + 18/30) [find a common denominator of 30]

= -7 - 43/30

= -8 13/30

5 2/9 + (-2 3/4)

= 5 - 2 + (2/9 - 3/4) [convert mixed numbers to improper fractions]

= 3 + (-146/36) [find a common denominator of 36]

= 2 26/36

= 2 2/3

-5 3/8 + 4 9/10

= -5 + 4 + (-3/8 + 9/10) [convert mixed numbers to improper fractions]

= -1 + (45/80 - 32/80) [find a common denominator of 80]

= -1 + 13/80

= -1 67/80

2 5/8 + (-1 5/12)

= 2 - 1 + (5/8 - 5/12) [convert mixed numbers to improper fractions]

= 1 + (15/24 - 10/24) [find a common denominator of 24]

= 1 + 5/24

2 5/6 + (-3 2/3)

= 2 - 3 + (5/6 - 2/3) [convert mixed numbers to improper fractions]

= -1 + (5/6 - 4/6)

= -1 + 1/6

= -5/6

-7/8 + 1 3/7

= -7/8 + 10/7 [convert mixed numbers to improper fractions]

= (-49/56 + 80/56) [find a common denominator of 56]

= 31/56