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24. \( x+\frac{13}{18}=\frac{17}{18} \)

Ask by Wang Hamilton. in Kazakhstan
Feb 17,2025

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x = 2/9

Solución

Дано уравнение:   x + 13/18 = 17/18 Чтобы найти x, вычтем 13/18 из обеих частей уравнения:   x = 17/18 − 13/18   x = (17 − 13) / 18   x = 4/18 Упростим дробь 4/18, разделив числитель и знаменатель на 2:   x = 2/9 Ответ: x = 2/9.

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The Deep Dive

To solve for \( x \), first, we need to isolate \( x \) in the equation \( x + \frac{13}{18} = \frac{17}{18} \). We can do this by subtracting \( \frac{13}{18} \) from both sides of the equation: \[ x = \frac{17}{18} - \frac{13}{18} \] This gives us: \[ x = \frac{17 - 13}{18} = \frac{4}{18} \] Now, to simplify \( \frac{4}{18} \), we can divide the numerator and the denominator by their greatest common divisor, which is 2: \[ x = \frac{4 \div 2}{18 \div 2} = \frac{2}{9} \] So, the solution is: \[ x = \frac{2}{9} \]

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