Answer: It should be 7
Explanation:
Step 1 of 2: Subtract.
Subtract
3 − (negative 8 over 2 −
8
2
) = 14 over 2
14
2
Step 1 of 2: Subtract, sub-step a: Convert integer to a fraction.
Convert integer to a fraction
3 = 3 over 1
3
1
Step 1 of 2: Subtract, sub-step b: Subtract a negative.
Subtract a negative
3 over 1
3
1
− (negative 8 over 2 −
8
2
) = 3 over 1
3
1
+ 8 over 2
8
2
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
3 over 1
3
1
+ 8 over 2
8
2
= ( 3 × 2 ) over ( 1 × 2 )
3 × 2
1 × 2
+ ( 8 × 1 ) over ( 2 × 1 )
8 × 1
2 × 1
= 6 over 2
6
2
+ 8 over 2
8
2
2 is the least common multiple of denominators 1 and 2. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Add.
Add
6 over 2
6
2
+ 8 over 2
8
2
= ( 6 + 8 ) over 2
6 + 8
2
= 14 over 2
14
2
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
14 over 2
14
2
= 7