Question
34. \( \frac{a}{12}-1=\frac{5}{12} \)
Ask by Norton Mckenzie. in Kazakhstan
Feb 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a = 17
Solution
Дано уравнение: (a/12) - 1 = 5/12
Шаг 1. Перенесём -1 в правую часть уравнения:
a/12 = 5/12 + 1
Шаг 2. Приведём 1 к общему знаменателю:
1 = 12/12,
тогда a/12 = 5/12 + 12/12 = (5 + 12)/12 = 17/12
Шаг 3. Умножим обе части уравнения на 12, чтобы избавиться от дроби:
a = 17
Ответ: a = 17.
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Simplify this solution Mind Expander
To solve the equation \( \frac{a}{12}-1=\frac{5}{12} \), start by isolating \( \frac{a}{12} \). Add 1 to both sides: \[ \frac{a}{12} = \frac{5}{12} + 1 \] To add the fractions, express 1 as \( \frac{12}{12} \) so: \[ \frac{a}{12} = \frac{5}{12} + \frac{12}{12} = \frac{17}{12} \] Now, multiply both sides by 12 to solve for \( a \): \[ a = 12 \times \frac{17}{12} = 17 \] Thus, the solution to the equation is \( a = 17 \).
