Question

(3/4 - 1 2/3) : 1 5/6​

Answer 1

Ответ:

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Пошаговое объяснение:

(3/4 - 1 2/3) : 1 5/6​=1/2

1)3/4 - 1 2/3=-11/12

-11/12:1 5/6=-1/2

Answer 2

To solve the expression (3/4 - 1 2/3) : 1 5/6, we need to simplify each fraction and then perform the division.

First, let's convert the mixed numbers to improper fractions:

1 2/3 = (3 * 1 + 2)/3 = 5/3

1 5/6 = (6 * 1 + 5)/6 = 11/6

Now, let's subtract the fractions:

3/4 - 5/3

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 4 and 3 is 12.

Multiplying the first fraction by 3/3 and the second fraction by 4/4 to make the denominators equal, we get:

(3/4) * (3/3) - (5/3) * (4/4) = 9/12 - 20/12

Subtracting the numerators, we have:

(9 - 20)/12 = -11/12

Now, let's divide the result by 11/6:

(-11/12) : (11/6)

Dividing fractions is the same as multiplying by the reciprocal, so we can rewrite the expression as:

(-11/12) * (6/11)

Simplifying the expression, we get:

(-11 * 6)/(12 * 11) = -66/132

Both the numerator and denominator have a common factor of 66, so we can simplify further:

(-66/132) ÷ 66 = -1/2

Therefore, (3/4 - 1 2/3) : 1 5/6 simplifies to -1/2.