Question

(2 3/8+х)*5/16=6 3/16​

Answer 1

Пошаговое объяснение:

(2 3/8+х)× 5/16=6 3/16

(19/8+х)×5/16=99/16

95/128+5/16х=99/16

95+40х=792

40х=792-95

40х=697

х=697/40

х=17 17/40

х=17,425

Answer 2

Ответ:

($2\frac{3}{8}$+х)*$\frac{5}{16}$=$6\frac{3}{16}$

$2\frac{3}{8}$+х=$6\frac{3}{16}$:$\frac{5}{16}$

$2\frac{3}{8}$+х=$\frac{99}{16}$*$\frac{16}{5}$

$2\frac{3}{8}$+х=$\frac{99}{5}$

$2\frac{3}{8}$+х=19$\frac{4}{5}$

х=19$\frac{4}{5}$ - $2\frac{3}{8}$

х=$19\frac{32}{40}$ - $2\frac{15}{40}$

х=$17\frac{17}{40}$

Пошаговое объяснение:

Answer 3

To solve for the value of "x" in the equation (2 3/8 + x) * 5/16 = 6 3/16, you can follow these steps:

Step 1: Simplify the expressions on both sides of the equation.

On the left side of the equation, simplify the fraction and the mixed number:

2 3/8 = 19/8 (since 2 is equivalent to 16/8, and adding 3/8 gives 19/8)

Now, the equation becomes:

(19/8 + x) * 5/16 = 6 3/16

Step 2: Continue simplifying the equation.

First, simplify the mixed number on the right side:

6 3/16 = 99/16 (since 6 is equivalent to 96/16, and adding 3/16 gives 99/16)

Now, the equation is:

(19/8 + x) * 5/16 = 99/16

Step 3: Isolate "x" by dividing both sides by (5/16).

(19/8 + x) * 5/16 / (5/16) = (99/16) / (5/16)

Now, simplify the equation:

19/8 + x = (99/16) / (5/16)

Step 4: Solve for "x."

To isolate "x," subtract 19/8 from both sides of the equation:

x = (99/16) / (5/16) - 19/8

Now, calculate the right side:

x = (99/5) - 19/8

To subtract these fractions, you'll need a common denominator, which is 40:

x = (99/5) * (8/8) - (19/8) * (5/5)

x = (792/40) - (95/40)

Now, subtract:

x = (792 - 95) / 40

x = 697/40

So, the solution to the equation is:

x = 697/40

You can leave it in this fractional form or convert it to a mixed number or decimal if needed.