Question

5 3/14-(3 1/7-x)=10 5/28 15 баллов,СРОЧНО!!

Answer 1

5 3/14-3 1/7+x=10 5 /28
5 3/14 - 3 2/14+ x=10 5/28
2 1/14+x=10 5/28
2 2/28+x=10 5/28
x=10 5/28 - 2 2/28
x=8 3/28

Answer 2

To solve the equation, follow these steps:

Step 1: Convert mixed fractions to improper fractions. Step 2: Simplify the equation using the order of operations (PEMDAS/BODMAS). Step 3: Solve for the variable.

Given equation: 5 3/14 - (3 1/7 - x) = 10 5/28

Step 1: Convert mixed fractions to improper fractions.

5 3/14 can be written as (5 * 14 + 3) / 14 = 73 / 14 3 1/7 can be written as (3 * 7 + 1) / 7 = 22 / 7 10 5/28 can be written as (10 * 28 + 5) / 28 = 285 / 28

The equation now becomes: (73 / 14) - ((22 / 7) - x) = 285 / 28

Step 2: Simplify the equation.

(73 / 14) - ((22 / 7) - x) = 285 / 28

Step 3: Solve for the variable (x).

To do this, first, we need to get rid of the parentheses. Distribute the negative sign to everything inside the parentheses:

(73 / 14) - (22 / 7) + x = 285 / 28

Next, combine the fractions on the left side of the equation:

(73 / 14) - (44 / 14) + x = 285 / 28

Now, find a common denominator for the fractions:

(73 - 44) / 14 + x = 285 / 28

Simplify further:

29 / 14 + x = 285 / 28

To eliminate the fraction in front of x, multiply both sides by 28:

28 * (29 / 14) + 28 * x = 28 * (285 / 28)

2 * 29 + 28x = 285

Now, solve for x:

58 + 28x = 285

Subtract 58 from both sides:

28x = 285 - 58 28x = 227

Finally, divide by 28:

x = 227 / 28

The value of x is approximately 8.10714285714.

Double-check the answer: 5 3/14 - (3 1/7 - 8.10714285714) should equal 10 5/28

Let's verify: (73 / 14) - ((22 / 7) - 8.10714285714) = (73 / 14) - (22 / 7 - 50 / 7) = (73 / 14) - (-28 / 7) = (73 / 14) + (28 / 7) = (73 + 28) / 14 = 101 / 14

Now, convert 10 5/28 to an improper fraction:

10 5/28 = (10 * 28 + 5) / 28 = 285 / 28

Indeed, 101 / 14 is equal to 285 / 28.

Thus, the solution is correct: x ≈ 8.10714285714.