Mathematics

Question

Common denominator of 1/6 and 1/9

2 Answer

  • To find the common denominator of each fraction 

    1/6 --- 6,12,18,24,

    1/9 --- 9, 18 , 27 and so on...

    The common denominator is 18.

  • The common denominator of the two fractions will be 18.

    Given to us

    • [tex]\dfrac{1}{6}[/tex]
    • [tex]\dfrac{1}{9}[/tex]

    To find

    The Common denominator of  [tex]\dfrac{1}{6}[/tex]  and  [tex]\dfrac{1}{9}[/tex].

    Solution

    To find the common denominator between any two fractions we need to find the LCM of the two denominators.

    2 | 6, 9

    3 | 3, 9

    3 | 1, 3

      | 1, 1

    therefore, the LCM of the two numbers will be [tex]2 \times 3\times3 =18[/tex].

    As we can see that the LCM of the two fractions is 18.

    [tex]\dfrac{1}{6}+\dfrac{1}{9}\\\\=\dfrac{1\times 3}{6\times 3}+\dfrac{1\times 2}{9 \times 2}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}[/tex]

    Thus, the common denominator will be 18.

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