Question

4 3/14-(0,5х+2 1/6):5 1/3=3 5/7

Answer 1

Ответ:

Пошаговое объяснение:

Решено.

Answer 2

Let's break down the given equation step by step:

4 3/14 - (0,5x + 2 1/6) : 5 1/3 = 3 5/7

1. Convert all mixed fractions to improper fractions:
   • 4 3/14 = (4 * 14 + 3) / 14 = 59 / 14
   • 2 1/6 = (2 * 6 + 1) / 6 = 13 / 6
   • 5 1/3 = (5 * 3 + 1) / 3 = 16 / 3
   • 3 5/7 = (3 * 7 + 5) / 7 = 26 / 7

So the equation becomes: 59 / 14 - (0.5x + 13 / 6) / 16 / 3 = 26 / 7

2. Divide the fractions in the parentheses by multiplying by the reciprocal of the divisor: (0.5x + 13 / 6) / (16 / 3) = (0.5x + 13 / 6) * (3 / 16) = (3x / 32) + (13 / 32)

So the equation becomes: 59 / 14 - (3x / 32 + 13 / 32) = 26 / 7

3. Combine the fractions on the left-hand side: 59 / 14 - (3x / 32 + 13 / 32) = (59 - 3x - 13) / 32 = (46 - 3x) / 32

So the equation simplifies to: (46 - 3x) / 32 = 26 / 7

4. Cross-multiply to solve for x: 7 * (46 - 3x) = 26 * 32 322 - 21x = 832 -21x = 832 - 322 -21x = 510 x = -510 / 21 x = -24.2857 (approximately)

Therefore, the value of x that satisfies the equation is approximately -24.2857.