Question

What common denominator can you use to add these mixed numbers? -8 3/8 + 6 1/4

Answer 1

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`- 8 (3)/(8) + 6 (1)/(4) = \\`

`( - 64 + 3)/(8) + (24 + 1)/(4) = \\`

`( - 61)/(8) + (25)/(4) = \\`

`( - 61)/(8) + (25 * 2)/(4 * 2) = \\`

`( - 61)/(8) + (50)/(8) = \\`

`( - 61 + 50)/(8) = \\`

`( - 11 - 50 + 50)/(8) = \\`

`( - 11)/(8) = - (11)/(8) = - 1 (3)/(8) \\`

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Answer 2

Explanation:

8 = 2 * 2 * 2

4 = 2* 2

Least common denominator = 2 * 2 *2 = 8

`-8(3)/(8)=-(67)/(8) \\\\6(1)/(4) = (25)/(4)\\`

`-8(3)/(8)+6(1)/(4)=-(67)/(8)+(25)/(4)\\\\=-(67)/(8)+(25*2)/(4*2)\\\\=-(67)/(8)+(50)/(8)\\\\=(-67+50)/(8)\\\\=(-17)/(8)\\\\=-2(1)/(8)`