Question

2/3+(-7/8)+5/6=(-7/12)

Answer 1

Ответ:

Пошаговое объяснение:

2/3 + (-7/8) + 5/6 = 2/3 - 7/8 + 5/6 =

16/24 - 21/24 + 20/24 =

-5/24 + 20/24 = 15/24 = 5/8

Answer 2

To solve the equation 2/3 + (-7/8) + 5/6 = (-7/12), we need to find a common denominator for all the fractions involved. The common denominator is the smallest multiple of the denominators of the fractions.

Let's find the common denominator:

The denominator for 2/3 is 3. The denominator for -7/8 is 8. The denominator for 5/6 is 6. The denominator for -7/12 is 12.

To find the least common multiple (LCM) of 3, 8, 6, and 12, we can break each number down into its prime factors and find the highest power of each prime factor that appears in any of the numbers.

Prime factors of 3: 3 Prime factors of 8: 2, 2, 2 Prime factors of 6: 2, 3 Prime factors of 12: 2, 2, 3

From this, we can see that the LCM is 2^3 * 3 = 24.

Now, we can rewrite the equation using the common denominator of 24:

(2/3) * (8/8) + (-7/8) * (3/3) + (5/6) * (4/4) = (-7/12) * (2/2)

Simplifying each fraction, we get:

16/24 + (-21/24) + 20/24 = (-14/24)

Now, we can add the numerators together:

16 - 21 + 20 = -14

So the simplified equation becomes:

15/24 = -14/24

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