the sum of the fraction 1/18 and 1/18 is given by : a) 1/18 b) 1/9 c) 2/26 d) 36/18
Added by Gema R.
Step 1
So, 1/18 + 1/18 = (1+1)/18 = 2/18. Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. 2/18 = (2 ÷ 2)/(18 ÷ 2) = 1/9. Show more…
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The fraction $\frac{1}{18}$ can be written as the following sum: $$ \frac{1}{18}=\frac{x}{2}+\frac{y}{3}+\frac{z}{9} $$ where the numbers $x, y,$ and $z$ are solutions of $$ \left\{\begin{aligned} x+3 y+z &=-3 \\ -x+y+2 z &=-14 \\ 3 x+2 y-z &=12 \end{aligned}\right. $$ Solve the system and see that the sum of the fractions is $\frac{1}{18}$
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