Question

What must be added to 1/6 to make it equal to 17/18?

Answer 1

Answer:

7/9

Solution:

$let \: the \: number \: be \: x \\ x + \frac{1}{6} = \frac{17}{18} \\ x = \frac{17}{18} - \frac{1}{6} \\ lcm \: of \: 18 \: and \: 6 = 18 \\ x = \frac{17}{18} - \frac{1}{6} \times \frac{3}{3} = \frac{3}{18} \\ x = \frac{17 - 3}{18} \\ x = \frac{14}{18 } = \frac{7}{9}$

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Answer 2

Step-by-step explanation:

Let tge required number be X.

So, according to the question :

1/6 + X = 17/18

=>1/6 + 6X/6 = 17/18

=>1+6X = 17/18 × 6

=>1+6X = 17/3

=>6X = 17/3 - 1

=>6X = 17/3 - 3/3

=>6X = 14/3

=>X = 14/3 × 1/6

=>X= 14/18

=> X = 7/9