in the lincon school 1/6 of the students are on the track team and 1/4 of the student are on the tennis team.no students play on both team.what fraction of the students are on the two teams altogether
1/6 + 1/4 = 2/12 + 3/12 = 5/12
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To find the fraction of students who are on both the track team and the tennis team, we first need to determine the fractions separately.
Given that 1/6 of the students are on the track team, we can represent this fraction as 1/6.
Similarly, if 1/4 of the students are on the tennis team, we can represent this fraction as 1/4.
Since no students play on both teams, we need to find the combined fraction by adding these two fractions. However, before we do that, we need to find a common denominator for both fractions.
The common denominator between 6 and 4 is 12. We will convert the fractions to have a denominator of 12.
To convert 1/6 to have a denominator of 12, we need to multiply both the numerator and denominator by 2. This gives us 2/12.
To convert 1/4 to have a denominator of 12, we need to multiply both the numerator and denominator by 3. This gives us 3/12.
Now, we can add the fractions together:
2/12 + 3/12 = 5/12
Therefore, the fraction of students who are on both the track team and the tennis team altogether is 5/12.