Question

6целых 1/3-3/4*2целых 2/5+4целых 5/6= -2целых 1/12*(-1/5)в квадрете=270/500:54/60=(-3/4) в кубе *(-4 целых20/27) :9/16=​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

1 Пример.
1) 3/4×2 целых 2/5 = 3/4×12/5=9/5
2) 6 целых 1/3 - 9/5 = 6 целых 5/15 - 27/15 =
= 5 целых 20/15 - 27/15 =
= 4 целых 35/15 - 27/15 = 4 целых 7/15
3) 4 целых 7/15 + 4 целых 5/6 =
= 8 целых 39/30 = 9 целых 9/30 =
= 9 целых 3/10

2 Пример.
1) - 1/5 в квадрате = - 1/5 × ( - 1/5 ) = - 1/25
2) - 2 целых 1/12 × ( - 1/25 ) =
= ( 2 целых 1/12 × 1/25 ) = 25/12 × 1/25 = 1/12

3 Пример
1) 270/500 ÷ 54/60 = 270/500 × 60/54 = 3/5

4 Пример.
1) - 3/4 в кубе = - 3/4 × ( - 3/4 ) × ( - 3/4 ) =
= - 27 / 64
2) - 27/64 × ( - 4 целых 20/27 ) =
= ( 27/64 × 4 целых 20/27) =
= 27/64 × 128/27 = 2/1 = 2
3) 2 × 9/16 = 2/1 × 16/9 = 32/9 = 3 целых 5/9

Answer 3

To simplify the given expression step-by-step, follow these calculations:

Step 1: Evaluate the expression 6 1/3 - 3/4 * 2 2/5 + 4 5/6.

1. Convert all mixed fractions to improper fractions: 6 1/3 = 6 + 1/3 = 19/3 2 2/5 = 2 + 2/5 = 12/5 4 5/6 = 4 + 5/6 = 29/6

2. Perform the multiplication and division operations first: (3/4) * (12/5) = 36/20 = 9/5

3. Now, perform the additions and subtractions: 19/3 - 9/5 + 29/6

To add fractions, we need a common denominator. The least common multiple of 3, 5, and 6 is 30.

(19/3 * 10/10) - (9/5 * 6/6) + (29/6 * 5/5) = (190/30) - (54/30) + (145/30) = (190 - 54 + 145) / 30 = 281/30

Step 2: Evaluate -2 1/12 * (-1/5)².

1. Convert the mixed fraction to an improper fraction: -2 1/12 = -2 - 1/12 = -25/12

2. Square the fraction: (-25/12)² = (25²) / (12²) = 625 / 144

Step 3: Evaluate 270/500 : 54/60.

1. Simplify both fractions: 270/500 = 27/50 54/60 = 9/10

2. Divide the fractions: (27/50) / (9/10) = (27/50) * (10/9) = 270/450 = 6/10 = 3/5

Step 4: Evaluate (-3/4)³ * (-4 20/27) : 9/16.

1. Convert the mixed fraction to an improper fraction: -4 20/27 = -4 - 20/27 = -112/27

2. Cube the fraction: (-3/4)³ = (-3/4) * (-3/4) * (-3/4) = -27/64

3. Divide the two fractions: (-27/64) / (9/16) = (-27/64) * (16/9) = -432/576 = -3/4

Putting it all together:

281/30 - 625/144 = (281144 - 62530)/(30*144) = (40584 - 18750) / 4320 = 21834 / 4320 = 1529 / 240 3/5 = 3/5 -3/4 = -3/4

Therefore, the final expression is:

1529/240 - 3/5 - 3/4.