Question

(x+3 5/14):5 5/8=2 2/5 ​

Answer 1

Ответ:

х+3 5/14=2 2/5×5 5/8

х=16 1/2-3 5/14

х=12 1/2

Answer 2

To solve the expression $\frac{x + \frac{35}{14}}{5 \frac{5}{8}} = 2 \frac{2}{5}$, let's follow these steps:

1. Simplify the numerator: $\frac{x + \frac{35}{14}}{5 \frac{5}{8}} = \frac{x + \frac{35}{14}}{\frac{48}{8} + \frac{5}{8}} = \frac{x + \frac{35}{14}}{\frac{53}{8}}.$

2. Invert the divisor and multiply: $\frac{x + \frac{35}{14}}{\frac{53}{8}} \times \frac{8}{53} = \frac{8 \cdot (x + \frac{35}{14})}{53} = \frac{8x + \frac{8 \cdot 35}{14}}{53} = \frac{8x + 20}{53}.$

So, the equation becomes: $\frac{8x + 20}{53} = 2 \frac{2}{5}.$

3. Convert the mixed number to an improper fraction: $2 \frac{2}{5} = \frac{10}{5} + \frac{2}{5} = \frac{12}{5}.$

4. Set up the equation: $\frac{8x + 20}{53} = \frac{12}{5}.$

5. Cross-multiply: $5(8x + 20) = 12 \cdot 53.$

6. Solve for x: $40x + 100 = 636.$ $40x = 536.$ $x = \frac{536}{40} = \frac{134}{10} = 13.4.$

So, the solution to the equation is $x = 13.4$.