Question

4 5/7 + (4/27-х)=6 2/7​

Answer 1

Ответ на фото.

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Answer 2

To solve the equation, let's first convert the mixed numbers into improper fractions:

4 5/7 can be written as (7 * 4 + 5) / 7 = 33/7 6 2/7 can be written as (7 * 6 + 2) / 7 = 44/7

Now let's substitute these values back into the equation:

33/7 + (4/27 - x) = 44/7

Next, let's simplify the equation by finding a common denominator for all the fractions involved. The least common multiple (LCM) of 7 and 27 is 189. We can rewrite the equation with the common denominator:

(33/7) * (27/27) + [(4/27) * (7/7) - x] = (44/7) * (27/27)

This simplifies to:

891/189 + (28/189 - x) = 1188/189

Now let's combine like terms:

891/189 + 28/189 - x = 1188/189

Next, let's combine the fractions:

(891 + 28) / 189 - x = 1188/189

919/189 - x = 1188/189

Now, let's isolate the variable x by moving the terms around:

x = 919/189 - 1188/189

To subtract the fractions, we need to find a common denominator:

x = (919 - 1188) / 189

x = -269/189

The solution to the equation is x = -269/189.