Answer :

we have the expression

[tex]-9\frac{2}{7}-(-10\frac{3}{7})[/tex]

step 1

Remove the parenthesis

[tex]-9\frac{2}{7}-(-10\frac{3}{7})=-9\frac{2}{7}+10\frac{3}{7}[/tex]

step 2

Convert mixed number to an improper fraction

so

9 2/7=9+2/7=(7*9+2)/7=65/7

10 3/7=10+3/7=(7*10+3)/7=73/7

step 3

substitute in the expression above

[tex]-9\frac{2}{7}+10\frac{3}{7}=-\frac{65}{7}+\frac{73}{7}=\frac{8}{7}[/tex]

step 4

Convert to mixed number

8/7=7/7+1/7=1+1/7=1 1/7

answer is option B

Explanation

If you have a mixed number

example

9 2/7 -------> is the same that 9+2/7

To adds 9 and 2/7 -----> multiply 9 by 7/7------> 9*7/7=63/7

now the two numbers have the same denominator

63/7+2/7=(63+2)/7------> 65/7

10 3/7 -----> 10+3/7

to adds 10 and 3/7 ------> multiply 10 by 7/7 -----> 10*7/7=70/7

70/7+3/7=73/7

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