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4^2[1/3+4(36÷6)] Show work please.

1 Answer

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Answer:

1168/3 or 389 1/3 as a mixed fraction

Explanation:

Simplify the following:

4^2 (4×36/6 + 1/3)

4×36/6 = (4×36)/6:

4^2 ((4×36)/6 + 1/3)

4^2 = 16:

16 ((4×36)/6 + 1/3)

36/6 = (6×6)/6 = 6:

16 (4×6 + 1/3)

4×6 = 24:

16 (24 + 1/3)

Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:

16 1/3 + (3×24)/3

3×24 = 72:

16 (1/3 + 72/3)

1/3 + 72/3 = (1 + 72)/3:

16 (1 + 72)/3

1 + 72 = 73:

16×73/3

16×73/3 = (16×73)/3:

(16×73)/3

| | 7 | 3

× | | 1 | 6

| 4 | 3 | 8

| 7 | 3 | 0

1 | 1 | 6 | 8:

Answer: 1168/3

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