Question

1) -2 1/8 : 4 1/4 2) - 16/17 : (-4)

Answer 1

1) 2 целых 1/8 = (2·8+1)/8 = 17/8

4 целых 1/4 = (4·4+1)/4 = 17/4

-2 1/8 : 4 1/4 = -17/8 : 17/4 = -17/8 · 4/17 = -4/8 = -1/2

(-) : (+) = (-)

Ответ: (-1/2).

- - - - - - - - - -

2) -16/17 : (-4) = 16/17 · 1/4 = (4·1)/(17·1) = 4/17

(-) : (-) = (+)

Ответ: 4/17.

Answer 2

1) -17/8: 17:4= - 17/8*4/17= -1/2*1/1= -1/2
2) -16/17:-4/1=+16/17*1/4= 4/17*1/1=+4/17
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Answer 3

To solve the given expressions, let's simplify the fractions first and then perform the division.

1. -2 1/8 : 4 1/4: To simplify the fractions, we convert the mixed numbers to improper fractions. -2 1/8 is equivalent to -17/8. 4 1/4 is equivalent to 17/4.

Now, we can perform the division: (-17/8) ÷ (17/4) = (-17/8) * (4/17) = -17/2 * 1/8 = -17/16

Therefore, -2 1/8 : 4 1/4 equals -17/16.

2. -16/17 : (-4): To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of -4 is -1/4.

Now, we can perform the division: (-16/17) ÷ (-4) = (-16/17) * (-1/4) = 16/17 * 1/4 = 16/68 = 4/17

Therefore, -16/17 : (-4) equals 4/17.