WHICH OF THE FOLLOWING IS THE BIGGEST:2/5, 6/21, 4/18, 2/11?
First you have to find a common denominator for all of the fractions, and then you can compare the numerators.
or, convert all to decimals. Then it is easy to see.
To determine which fraction is the largest among 2/5, 6/21, 4/18, and 2/11, we need to find a common denominator for all the fractions.
The common denominator is the least common multiple (LCM) of the denominators.
Let's find the LCM of the denominators: 5, 21, 18, 11.
The multiples of 5 are: 5, 10, 15, 20, 25...
The multiples of 21 are: 21, 42, 63, 84...
The multiples of 18 are: 18, 36, 54, 72...
The multiples of 11 are: 11, 22, 33, 44...
The LCM of 5, 21, 18, and 11 is 1,890.
Now, we can convert all the fractions to have a denominator of 1,890.
2/5 becomes 756/1,890. (Multiply the numerator and denominator by 378)
6/21 becomes 540/1,890. (Multiply the numerator and denominator by 90)
4/18 becomes 420/1,890. (Multiply the numerator and denominator by 70)
2/11 becomes 340/1,890. (Multiply the numerator and denominator by 60)
Now, we can compare the numerators:
756/1,890 vs. 540/1,890
756 is bigger than 540.
756/1,890 vs. 420/1,890
756 is bigger than 420.
756/1,890 vs. 340/1,890
756 is bigger than 340.
Therefore, among the fractions 2/5, 6/21, 4/18, and 2/11, the fraction 2/5 is the largest.