Answer:
5
Explanation:
Multiply
( −9 ) + 12× (- 1/3) + 2 ÷ 1/9 = ( −9 ) + (-12/3) + 2 ÷ 1/9
−1/3 × 12 = − 1 × 12 /3 = −12/3
Divide
( −9 ) + (−12/3) + 2 ÷ 1/9 = ( −9 ) + (-12/3) + 18/1
Convert integer to fraction
2 = 2/1
2/1 ÷ 1/9 = 2/1 × 9 over 1 = ( 2 × 9 ) over ( 1 × 1 ) = 18/1
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Add
( −9 ) + (−12/3) + 18/1 = (−39/3 ) + 18/1
Convert integer to fraction
−9 = -9/1
Add a negative
-9/1 + (12/ 3) = -9/1 − 12 over 3
Adding a negative is the same as subtracting a positive.
Find common denominator
-9/1 − 12/3 = −( 9 × 3 ) / ( 1 × 3 ) - (12 × 1 ) / ( 3 × 1 ) = -27/3 − 12/3
3 is the least common multiple of denominators 1 and 3. Use it to convert to equivalent fractions with this common denominator.
Subtract
-27/3 − 12/3 = (- 27−27 − 12 )/3 = −39/3
Add
(-39/3) + 18/1 = 15/3
Find common denominator
−39/3 + 18/1 = −( 39 × 1 ) / ( 3 × 1 ) + ( 18 × 3 ) / ( 1 × 3 ) = -39/3 + 54/3
3 is the least common multiple of denominators 3 and 1. Use it to convert to equivalent fractions with this common denominator.
Add
-39/3 + 54/3 = ( -39−39 + 54 ) /3 = 15 over 3
Simplify
15/3 = 5