Question

1 5/6 : (3/4 - 1 2/3)

Answer 1

Ответ: 1) 3/4-1 2/3=3/4-5/3=(3*3-5*4)/12=-11/12.

2) 5/6:(-11/12)=-5*12/6*11=-10/11.

Пошаговое объяснение:

Answer 2

=11/6:(3/4-5/3)=11/6:(3*3/12-5*4/12)=11/6:(9-20/12)=11/6:(-11/12)=11/6*(-12/11)=-2

Answer 3

To simplify the expression 1 5/6 : (3/4 - 1 2/3), let's first convert the mixed numbers into improper fractions.

1 5/6 can be converted to an improper fraction as follows: 1 5/6 = (6 * 1 + 5)/6 = 11/6

Similarly, 1 2/3 can be converted to an improper fraction as follows: 1 2/3 = (3 * 1 + 2)/3 = 5/3

Now, let's calculate the expression:

1 5/6 : (3/4 - 1 2/3)

Since division takes precedence over subtraction, we need to evaluate the subtraction first:

3/4 - 1 2/3

To subtract mixed numbers, we need a common denominator. The common denominator of 4 and 3 is 12.

Converting 3/4 to twelfths: 3/4 = (3 * 3)/12 = 9/12

Converting 1 2/3 to twelfths: 1 2/3 = (3 * 1 + 2)/3 = 5/3 = (5 * 4)/12 = 20/12

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

Now, let's substitute this result back into the original expression:

1 5/6 : (-11/12)

To divide by a fraction, we can multiply by its reciprocal:

1 5/6 * (-12/11)

To simplify, multiply the whole number by the denominator and add the numerator:

(6 * 1 + 5) * (-12/11) = 11/6 * (-12/11)

Cancel out common factors: (11/1 * -1/1) * (2/6 * -6/2) = -11/1 * -1/1 = 11

Therefore, 1 5/6 : (3/4 - 1 2/3) is equal to 11.