Question

Решитьу + 5/7 - 1/8 = 2/3 - 1/14 ​

Answer 1

Ответ:

$y=\frac{1}{168}$

Пошаговое объяснение:

$y+\frac{5}{7} - \frac{1}{8} = \frac{2}{3} - \frac{1}{14}$

$y+\frac{33}{56} =\frac{25}{42}$

$y=\frac{25}{42}^{|4} -\frac{33}{56}^{|3} =\frac{100-99}{168}$

$y=\frac{1}{168}$

 

Answer 2

Ответ:

у+5/7-1/8=2/3-1/14

у+40/56-7/56=28/42-3/42

у+33/56=25/42

у=100/168- 99/168

у=1/168

Пошаговое объяснение:

Answer 3

To solve the equation, let's simplify both sides step by step:

On the left side: u + 5/7 - 1/8

To combine the fractions, we need a common denominator, which is the least common multiple (LCM) of 7 and 8, which is 56. Now let's rewrite the fractions with the common denominator:

u + (40/56) - (7/56)

Combining the fractions, we have:

u + (40 - 7)/56

Simplifying further:

u + 33/56

On the right side: 2/3 - 1/14

To combine the fractions, we need a common denominator, which is the LCM of 3 and 14, which is 42. Now let's rewrite the fractions with the common denominator:

(28/42) - (3/42)

Combining the fractions, we have:

(28 - 3)/42

Simplifying further:

25/42

Now we can set the left side equal to the right side:

u + 33/56 = 25/42

To solve for u, we'll isolate the variable u on one side of the equation. Let's first find a common denominator for 56 and 42, which is 168. Now let's rewrite the fractions with the common denominator:

(3u + 33)/168 = 25/42

Cross-multiplying, we have:

42(3u + 33) = 25(168)

Simplifying:

126u + 1386 = 4200

Subtracting 1386 from both sides:

126u = 2814

Dividing both sides by 126:

u = 2814/126

Simplifying the fraction:

u = 22.3333

Therefore, the solution to the equation is u = 22.3333.