Question

I need an answer to this problem with an explanation as to how the answer was arrived at: -2 1/3 + 1 3/4=

Answer 1

simplify

convert mixed numbers to improper fractions

2 1/3 = 1 3/4

= -7/3 + 1 3/4

convert numbers to improper fractions

= -7/3 + 7/4

least common multiplier of 3 and 4: 12

adjust factors based on the lcm

= -28/12 + 21/12

apply fraction rule

= -28+21/12

= -7/12

apply fraction rule

= - 7/12