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15. What is the value of the expression below?

15. What is the value of the expression below?-example-1
User Marshall
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1 Answer

15 votes
15 votes

Answer:

-4 3/8 thus A. is the answer

Explanation:

Simplify the following:

-7/2 - (5/8 + 1/4)

Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:

-7/2 - (5/8 + 2/8)

5/8 + 2/8 = (5 + 2)/8:

-7/2 - ((5 + 2)/8)

5 + 2 = 7:

-7/2 - 7/8

Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:

(4 (-7))/8 - 7/8

4 (-7) = -28:

(-28)/8 - 7/8

-28/8 - 7/8 = (-28 - 7)/8:

(-28 - 7)/8

-28 - 7 = -(28 + 7):

(-(28 + 7))/8

| 1 |

| 2 | 8

+ | | 7

| 3 | 5:

Answer: (-35)/8 now converto to a mixed number:

Convert to a mixed number:

-35/8

Divide 35 by 8:

8 | 3 | 5

8 goes into 35 four times. Multiply and subtract:

| | 4 |

8 | 3 | 5 |

- | 3 | 2 |

| | 3 |

The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):

| | 4 | (quotient)

8 | 3 | 5 |

- | 3 | 2 |

| | 3 | (remainder) invisible comma

35 = 4×8 + 3

The quotient of 35/8 is 4 with remainder 3, so:

4 3/8

Replace the negative sign:

Answer: -4 3/8

User DaveEP
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