Question
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Answer
The simplified form is \( \frac{2}{9} \).
Solution
Calculate or simplify the expression \( (2u+12)/(9u+54) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(2u+12\right)}{\left(9u+54\right)}\)
- step1: Remove the parentheses:
\(\frac{2u+12}{9u+54}\)
- step2: Factor the expression:
\(\frac{2\left(u+6\right)}{9\left(u+6\right)}\)
- step3: Reduce the fraction:
\(\frac{2}{9}\)
The simplified form of the expression \( \frac{2u+12}{9u+54} \) is \( \frac{2}{9} \).
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Simplify this solution Mind Expander
To simplify the expression \( \frac{2u + 12}{9u + 54} \), we can factor out common factors in both the numerator and the denominator. In the numerator, \( 2u + 12 \) can be factored as: \[ 2(u + 6) \] In the denominator, \( 9u + 54 \) can be factored as: \[ 9(u + 6) \] Now we rewrite the expression: \[ \frac{2(u + 6)}{9(u + 6)} \] Next, we can cancel the common factor \( (u + 6) \) from the numerator and the denominator (as long as \( u + 6 \neq 0 \)): \[ \frac{2}{9} \] So, the simplified form of the original expression is: \[ \frac{2}{9} \]
