Question

5/9 of the pole is coloured red, 5/18 of is coloured black and the remaining is coloured blue. What part of the pole is coloured blue?
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Answer 1

Answer: 3/18 of the pole is colored blue

Step-by-step explanation:

Find the LCM (Lowest Common Denominator) of the two fractions given.

The LCM of 9 and 18 is 18.

Re-writing the fractions it would be:

10/18 of the pole is colored red, 5/18 of is colored black.

Now add the two fractions together,

10/18+5/18= 15/18

Now since there are 18 parts,

18/18-15/18= 3/18

So 3/18 of the pole is colored blue.

Let me know if you are confused on a certain part! :)

Answer 2

Answer :-

• 1/6 of the pole is coloured blue.

To find :-

• The part of the pole which is coloured blue.

Step-by-step explanation :-

Given that :-

• Fraction of the pole coloured red = 5/9.

• Fraction of the pole coloured black = 5/18.

Let :-

• The fraction of the pole coloured blue be "x"

Therefore,

$\dashrightarrow\sf x + \dfrac{5}{9} + \dfrac{ \: 5}{18} = 1$

$\sf \dashrightarrow \dfrac{(2 \times 5) + (1 \times 5)}{18} + x = 1$

$\sf \dashrightarrow \dfrac{10 + 5}{18} + x = 1$

$\dashrightarrow\sf\dfrac{15}{18} + x = 1$

$\sf\dashrightarrow x = \dfrac{1}{1} - \dfrac{15}{18}$

Taking the LCM of 1 and 18,

$\sf \dashrightarrow x = \dfrac{(1 \times 18) - (15 \times 1)}{18}$

$\sf\dashrightarrow x = \dfrac{18 - 15}{18}$

$\sf\dashrightarrow x = \cancel{\dfrac{3}{18}}$

$\sf\dashrightarrow x = \dfrac{1}{6}$

Hence :-

• 1/6 of the pole is coloured blue.

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