Common denominator of two fraction or number is the number by which denominators of both the fraction share at least one factor except 1.As the smallest number which can be divided by both denominator is 6. Hence the least common denominator of 5/6 and 1/3 us 6.
Given-
The fraction given in the problem are 5/6 and 1/3.
Denominators of both the fraction are 6 and 3.
What is the common denominator?
Common denominator of two fraction or number is the number by which denominators of both the fraction share at least one factor except 1.
The least common denominator (LCM) of the number 6 and 3 is 6 as it is the smallest number which can be divided by both 6 and 3.
To find the equivalent fraction multiply both the fraction with LCM 6.
For first fraction,
[tex]\dfrac{5}{6} =\dfrac{5\times 6}{6\times 6} =\dfrac{30}{36}[/tex]
For second fraction,
[tex]\dfrac{1}{3} =\dfrac{1\times 6}{3\times 6} =\dfrac{6}{18}[/tex]
As the smallest number which can be divided by both denominator is 6. Hence the least common denominator of 5/6 and 1/3 us 6.
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