3/7+1/3
as a fraction
To add these fractions, we need to find a common denominator. The least common multiple of 7 and 3 is 21. So, we rewrite the fractions with the denominator of 21:
3/7 = 9/21 (multiply numerator and denominator by 3)
1/3 = 7/21 (multiply numerator and denominator by 7)
Now, we can add the fractions:
9/21 + 7/21 = 16/21
Therefore, 3/7 + 1/3 as a fraction is 16/21.
2/3+3/5
as fraction
To add these fractions, we need to find a common denominator. The least common multiple of 3 and 5 is 15. So, we rewrite the fractions with the denominator of 15:
2/3 = 10/15 (multiply numerator and denominator by 5)
3/5 = 9/15 (multiply numerator and denominator by 3)
Now, we can add the fractions:
10/15 + 9/15 = 19/15
Therefore, 2/3 + 3/5 as a fraction is 19/15. However, this answer is an improper fraction (the numerator is larger than the denominator), so we can simplify it to a mixed number:
19/15 = 1 4/15
So, 2/3 + 3/5 as a fraction is either 19/15 or 1 4/15.
To add fractions, you need to have a common denominator. The first step is to find the least common multiple (LCM) of the denominators, which in this case are 7 and 3.
To find the LCM, you can list the multiples of each denominator until you find the smallest number that appears in both lists.
For 7, the multiples are 7, 14, 21, 28, 35, 42, ...
For 3, the multiples are 3, 6, 9, 12, 15, 18, 21, 24, ...
In this case, the smallest number that appears in both lists is 21. So, 21 is the least common multiple (LCM) of 7 and 3.
Now that we have a common denominator of 21, we can rewrite the fractions:
3/7 = (3 * 3)/(7 * 3) = 9/21
1/3 = (1 * 7)/(3 * 7) = 7/21
Now, we can add the fractions:
9/21 + 7/21 = (9 + 7)/21 = 16/21.
Therefore, the sum of 3/7 and 1/3 as a fraction is 16/21.