Question

Вычислите -7/36-13/108+11/54+5/72 Прошу,вычислите по действиям и напишите ответ. Заранее спасибо.

Answer 1

Общий знаменатель: 216, далее узнаем на сколько надо умножить в каждой дроби и числитель и знаменатель, получается выражение:
-42/216-26/216+44/216+15/216= -9/216= -1/24

Answer 2

- 7/36 - 13/108+11/54+5/72= - 1/24
1) -7/36+5/72=(-7·2+5)/72=- 9/72=- 1/8
2) -13/108 +11/54=(-13+11·2)/108=9/108=1/12
3) -1/8+1/12=(-3+2)/24=- 1/24

Answer 3

To compute the expression -7/36 - 13/108 + 11/54 + 5/72, we need to find a common denominator for all the fractions and then perform the arithmetic operations.

Finding a Common Denominator

The denominators of the given fractions are 36, 108, 54, and 72. To find a common denominator, we need to find the least common multiple (LCM) of these numbers.

The LCM of 36, 108, 54, and 72 is 216. Therefore, we will convert all the fractions to have a denominator of 216.

Converting the Fractions

To convert a fraction to have a denominator of 216, we need to multiply both the numerator and denominator by the same value.

For the fraction -7/36, we multiply both the numerator and denominator by 6: -7/36 * 6/6 = -42/216

For the fraction 13/108, we multiply both the numerator and denominator by 2: 13/108 * 2/2 = 26/216

For the fraction 11/54, we multiply both the numerator and denominator by 4: 11/54 * 4/4 = 44/216

For the fraction 5/72, we multiply both the numerator and denominator by 3: 5/72 * 3/3 = 15/216

Performing the Arithmetic Operations

Now that all the fractions have a common denominator of 216, we can add them together:

-42/216 + 26/216 + 44/216 + 15/216 = -42 + 26 + 44 + 15 / 216 = 43/216

Therefore, the value of the expression -7/36 - 13/108 + 11/54 + 5/72 is 43/216.

Please let me know if you have any further questions!