Answer:
2 2/3
Step-by-step explanation:
Simplify the following:
-(2 + 1/3) - -5
Hint: | Put the fractions in 2 + 1/3 over a common denominator.
Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:
-(3×2)/3 + 1/3 - -5
Hint: | Multiply 3 and 2 together.
3×2 = 6:
-(6/3 + 1/3) - -5
Hint: | Add the fractions over a common denominator to a single fraction.
6/3 + 1/3 = (6 + 1)/3:
-(6 + 1)/3 - -5
Hint: | Evaluate 6 + 1.
6 + 1 = 7:
-7/3 - -5
Hint: | Multiply -1 and -5 together.
-(-5) = 5:
(-7)/3 + 5
Hint: | Put the fractions in (-7)/3 + 5 over a common denominator.
Put (-7)/3 + 5 over the common denominator 3. (-7)/3 + 5 = (-7)/3 + (3×5)/3:
(-7)/3 + (3×5)/3
Hint: | Multiply 3 and 5 together.
3×5 = 15:
(-7)/3 + 15/3
Hint: | Subtract the fractions over a common denominator to a single fraction.
-7/3 + 15/3 = (-7 + 15)/3:
(-7 + 15)/3
Hint: | Subtract 7 from 15.
-7 + 15 = 8:
Answer: 8/3 - > convert to mixed fraction
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Convert to a mixed number:
8/3
Hint: | Use long division to get a quotient and remainder.
Divide 8 by 3:
3 | 8
Hint: | How many times does 3 go into 8?
3 goes into 8 at most 2 times:
| 2
3 | 8
- | 6
| 2
Hint: | Summarize the results.
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| 2 | (quotient)
3 | 8 |
- | 6 |
| 2 | (remainder)
Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.
The quotient of 8/3 is 2 with remainder 2, so:
Answer: 2 2/3
