Question

8 5/6-(7 1/3+2 1/4) : 1/4/ - дробь. ​

Answer 1

Ответ:

Пошаговое объяснение:

7 1/3+2 1/4=7 4\12+2 3\12=9 7\12

9 7\12:1\4=115\12*4=115\3=38 1\3

8 5\6-38 1\3=8 5\6-38 2\6=-29 1\2

Answer 2

To simplify the given expression, let's first convert the mixed numbers to improper fractions:

8 5/6 = (6 * 8 + 5) / 6 = 53/6 7 1/3 = (3 * 7 + 1) / 3 = 22/3 2 1/4 = (4 * 2 + 1) / 4 = 9/4

Now, we can substitute these values back into the expression:

8 5/6 - (7 1/3 + 2 1/4) : 1/4

= 53/6 - (22/3 + 9/4) : 1/4

Next, we need to simplify the expression inside the parentheses:

22/3 + 9/4

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 4 is 12:

22/3 + 9/4 = (22 * 4)/(3 * 4) + (9 * 3)/(4 * 3) = 88/12 + 27/12 = (88 + 27)/12 = 115/12

Substituting this back into the expression:

53/6 - 115/12 : 1/4

To divide fractions, we can multiply by the reciprocal of the divisor:

53/6 - 115/12 * 4/1

Multiplying the numerators and denominators:

53/6 - (115 * 4) / (12 * 1)

= 53/6 - 460/12

Again, we need to find a common denominator:

53/6 - 460/12 = (53 * 2)/(6 * 2) - 460/12 = 106/12 - 460/12 = (106 - 460)/12 = -354/12

Now, we can simplify the resulting fraction:

-354/12 = -177/6 = -29 3/6

Therefore, the simplified expression is -29 3/6.