Write the pair of fractions as a pair of fractions with a common denominator 5/6 and 1/3
5/6 2/6
To write the pair of fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case is 6.
Now, let's convert both fractions to have a denominator of 6:
For the fraction 5/6:
To get a denominator of 6, we multiply both the numerator and denominator by 1:
(5/6) x (2/2) = 10/12
For the fraction 1/3:
To get a denominator of 6, we multiply both the numerator and denominator by 2:
(1/3) x (2/2) = 2/6
Now, both fractions have a common denominator of 6:
5/6 = 10/12
1/3 = 2/6
So the pair of fractions, with a common denominator, is 10/12 and 2/6.
To write the pair of fractions 5/6 and 1/3 with a common denominator, we need to find the least common multiple (LCM) of the denominators, which is the smallest number that both denominators divide evenly into.
First, let's find the multiples of 6: 6, 12, 18, 24, 30, ...
And let's find the multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
From the lists, we can see that the least common multiple (LCM) of 6 and 3 is 6.
To write 5/6 and 1/3 with a common denominator of 6, we need to adjust the fractions:
The fraction 5/6 can be multiplied by 1 (which is the same as 2/2) to create a fraction with the denominator of 6:
5/6 * 1 = (5*1) / (6*1) = 5/6
The fraction 1/3 can be multiplied by 2/2 (which is the same as 2/2) to create a fraction with the denominator of 6:
1/3 * 2/2 = (1*2) / (3*2) = 2/6
Now, both fractions have a common denominator of 6, so the pair of fractions as a pair of fractions with a common denominator is:
5/6 and 2/6