Question

(3 5/14+х)-1 4/7=4 15/28​

Answer 1

Ответ:

(3 5/14 + x) - 1 4/7 = 4 15/28

(47/14 + x) - 11/7 = 127/28

47/14 + x - 11/7 = 127/28

25/14 + x = 127/28

x = 127/28 - 25/14

x = 11/4

Answer 2

To solve the equation:

(3 5/14 + x) - 1 4/7 = 4 15/28

First, let's convert the mixed numbers to improper fractions:

3 5/14 = (3 * 14 + 5)/14 = 47/14

1 4/7 = (1 * 7 + 4)/7 = 11/7

4 15/28 = (4 * 28 + 15)/28 = 143/28

Now, substitute these values back into the equation:

(47/14 + x) - (11/7) = 143/28

To simplify the equation, let's find a common denominator for the fractions involved. The common denominator here is 28:

(47/14 + x) - (11/7) = 143/28

Now, multiply each term by 28 to clear the denominators:

28 * (47/14 + x) - 28 * (11/7) = 28 * (143/28)

Simplifying further:

2 * (47) + 28x - 4 * (11) = 143

94 + 28x - 44 = 143

Combine like terms:

28x + 50 = 143

Subtract 50 from both sides:

28x = 143 - 50

28x = 93

Divide both sides by 28:

x = 93/28

Therefore, the value of x that satisfies the equation is x = 93/28.