Question

find X if (a) 1/x + 1/3 =1​

Answer 1

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Answer 2

Your Answer:

To find:-

• x if 1/x + 1/3 = 1

Solution:-

$\tt \dfrac{1}{x}+\dfrac{1}{3}=1 \\\\ \tt Taking\:\:LCM\:\:of\:\:Denominator \\\\ So, \:\:we\:\: get\:\: LCM\:\: of\:\: denominator\:\: as\:\: 3x\\\\ \tt \Rightarrow \dfrac{(3\times 1)+(x\times1)}{3x} = 1 \\\\ \tt \Rightarrow \dfrac{3+x}{3x}=1 \\\\ \tt \Rightarrow 3+x=3x \\\\ \tt \Rightarrow 3=3x-x \\\\ \tt \Rightarrow 3=2x \\\\ \tt \Rightarrow \dfrac{3}{2}=x$

So we have value of x = 3/2

Concepts Used:

• Finding LCM of numbers
• Solving equations
• Finding the values of Variable
• Solving the sum of fractions