Question

12 3/7+x+8 6/17=23 2/17

Answer 1

12 3/7+х+8 6/17=23 2/17;
20 93/119+х=23 2/17;
х=23 2/17 - 20 93/119;
х=2 40/119
Проверка:
12 3/7+2 40/119+8 6/17=14 13/17+8 6/17=23 2/17
все правильно решено

Answer 2

To solve the equation, we need to simplify the expression on the left side and isolate the variable x.

Let's start by simplifying the expression:

12 3/7 + x + 8 6/17 = 23 2/17

To add the mixed numbers, we need to convert them into improper fractions:

12 3/7 = (7 * 12 + 3)/7 = 87/7 8 6/17 = (17 * 8 + 6)/17 = 142/17

Now, the equation becomes:

87/7 + x + 142/17 = 23 2/17

To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 7 and 17, which is 119.

Multiplying the fractions by the appropriate factors, we get:

(87/7) * (17/17) + x + (142/17) * (7/7) = (23 * 17 + 2)/17

Simplifying further:

(1479/119) + x + (994/119) = (391/17)

Combining the fractions:

(1479 + 994)/119 + x = (391/17)

(2473/119) + x = (391/17)

Now, let's isolate the variable x. We'll subtract (2473/119) from both sides:

(2473/119) + x - (2473/119) = (391/17) - (2473/119)

x = (391/17) - (2473/119)

To perform the subtraction, we need a common denominator, which is the LCM of 17 and 119, which is 2033.

x = [(391 * 119) - (2473 * 17)] / (17 * 119)

x = (46529 - 42041) / 2033

x = 4488 / 2033

Now, we can simplify the fraction:

x = 2.2074 (approximately)

Therefore, the solution to the equation 12 3/7 + x + 8 6/17 = 23 2/17 is x ≈ 2.2074.