Question

14 9/16 - х = 6 3/4 + 1 2/5

Answer 1

14 9/16 - х = 6 3/4 + 1 2/5
233/16 - х = 8 3/20
- х = 163/20 - 233/16
х = 513/80
х = 6 33/80
х = 6,4125
Ответ : 6,4125

Answer 2

To solve this equation, we need to first convert all the mixed numbers to improper fractions:

14 9/16 - x = 6 3/4 + 1 2/5

= (14 × 16 + 9) / 16 - x = (6 × 4 + 3) / 4 + (1 × 5 + 2) / 5

= 233 / 16 - x = 27 / 4 + 7 / 5

Next, we need to find a common denominator for the two fractions on the right side of the equation. The smallest common multiple of 4 and 5 is 20, so we can rewrite these fractions with denominators of 20:

= 233 / 16 - x = (135 + 28) / 20

= 233 / 16 - x = 163 / 20

Now, we can isolate the variable x by subtracting 233/16 from both sides and then multiplying both sides by -1:

-x = 163 / 20 - 233 / 16

= (163 × 4 - 233 × 5) / (20 × 16)

= -183 / 80

x = 183 / 80

Therefore, the solution to the equation is x = 183/80.