Write the algebraic expression ' one-ninth of $x$ added to half of the sum of $a$ and $b$ '.

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Solution

According to the question:
One-ninth of $x$ $= 1 / 9 x$
Half of the sum of $a$ and $b$ $1 / 2 (a + b)$
Now, given that one-ninth of $x$ added to half of the sum of $a$ and $b$ , i.e, $1 / 9 x + 1 / 2 (a + b)$
Hence, the algebraic expression is $1 / 9 x + 1 / 2 (a + b)$ .

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