Question

5/16 x + 2 3/4 = 6 1/8

Answer 1

Ответ:

х=54/5= 10 4/5

Пошаговое объяснение:

5/16х=6 1/8 - 2 3/4

5/16х= превращаем в не правильную дробь и ищем общий знаменатель 49/8 - 11/4

5/16х=49/8 - 22/8

5/16х=27/8= 3 3/8

х=3 3/8 : 5/16

х=превращаем 3 3/8 в не правильную дробь

х= 27/8 : 16/5

х=54/5= 10 4/5

Answer 2

To solve the equation $\frac{5}{16}x + \frac{2}{4} = \frac{6}{8}$, we need to simplify the fractions on the right side and then solve for $x$:

1. Simplify fractions:
   • $\frac{2}{4}$ is equivalent to $\frac{1}{2}$.
   • $\frac{6}{8}$ is equivalent to $\frac{3}{4}$.

So, the equation becomes: $\frac{5}{16}x + \frac{1}{2} = \frac{3}{4}$

2. Subtract $\frac{1}{2}$ from both sides of the equation: $\frac{5}{16}x = \frac{3}{4} - \frac{1}{2} = \frac{1}{4}$

3. To solve for $x$, multiply both sides of the equation by $\frac{16}{5}$: $x = \frac{1}{4} \times \frac{16}{5} = \frac{4}{5}$

So, the solution to the equation is $x = \frac{4}{5}$.