Question

Выполнийте действие 11/12-5/6 1/4+3/7 3/8+3/20

Answer 1

Ответ:

1)1/12

2)19/28

3)84/160

Answer 2

Ответ:11/12-5/6

5/6×2=10/12

11/12-10/12=1/12

1/4+3/7

1/4×7=7/28

3/7×4=12/28

7/28+12/28=19/28

3/8+3/20

3/8×5=15/40

3/20×2=6/40

15/40+6/40=21/40

нужно чтобы знаменатели были одинаковыми.

Answer 3

To perform the calculation 11/12 - 5/6 + 1/4 + 3/7 + 3/8 + 3/20, we can simplify the fractions and then add or subtract them accordingly.

Simplifying the Fractions:

- 11/12 can be simplified to 55/60. - 5/6 can be simplified to 50/60. - 1/4 remains the same. - 3/7 remains the same. - 3/8 remains the same. - 3/20 remains the same.

Performing the Calculation:

Now, let's add or subtract the fractions:

55/60 - 50/60 + 1/4 + 3/7 + 3/8 + 3/20

To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 840.

Converting the fractions to have a common denominator:

- 55/60 = 77/84 - 50/60 = 70/84 - 1/4 = 210/840 - 3/7 = 360/840 - 3/8 = 315/840 - 3/20 = 42/840

Now, we can add or subtract the fractions:

77/84 - 70/84 + 210/840 + 360/840 + 315/840 + 42/840

To add or subtract fractions, we keep the denominator the same and perform the operation on the numerators:

(77 - 70 + 210 + 360 + 315 + 42)/840

Calculating the numerator:

77 - 70 + 210 + 360 + 315 + 42 = 934

The final calculation is:

934/840

Simplifying the Result:

To simplify the fraction 934/840, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 934 and 840 is 14.

Dividing the numerator and denominator by 14:

934/14 = 67 840/14 = 60

The simplified result is:

67/60

So, the answer to the calculation 11/12 - 5/6 + 1/4 + 3/7 + 3/8 + 3/20 is 67/60.

Please let me know if there's anything else I can help you with!