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22. \( 1-\frac{a}{15}=\frac{8}{15} \)

Ask by Chang Simmons. in Kazakhstan
Feb 17,2025

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a = 7

Solución

Решим уравнение:   1 - (a/15) = 8/15 1. Выразим левую и правую части через общий знаменатель. Заметим, что 1 можно записать как 15/15:   15/15 - a/15 = 8/15 2. Объединим дроби слева:   (15 - a)/15 = 8/15 3. Так как знаменатели равны, можно приравнять числители:   15 - a = 8 4. Выразим a:   -a = 8 - 15   -a = -7 5. Умножим обе части на (-1):   a = 7 Ответ: a = 7.

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To solve the equation \( 1 - \frac{a}{15} = \frac{8}{15} \), start by isolating the term with \( a \). Subtract \( 1 \) (which is equivalent to \( \frac{15}{15} \)) from both sides to get: \[ -\frac{a}{15} = \frac{8}{15} - \frac{15}{15} = \frac{8 - 15}{15} = -\frac{7}{15}. \] Now, multiply both sides by -15 to solve for \( a \): \[ a = -15 \cdot -\frac{7}{15} = 7. \] So, the solution is \( a = 7 \).

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