Simplifying the Fraction: 1/3 + 4/9
To add two fractions, we need to have the same denominator. Let's find the least common multiple (LCM) of 3 and 9.
Finding the Least Common Multiple (LCM)
The multiples of 3 are: 3, 6, 9, 12, 15, ... The multiples of 9 are: 9, 18, 27, 36, ...
The first number that appears in both lists is 9. Therefore, the least common multiple (LCM) of 3 and 9 is 9.
Converting the Fractions
Now, we need to convert both fractions to have a denominator of 9:
1/3 = ?/9
To convert 1/3 to have a denominator of 9, we need to multiply both the numerator and the denominator by 3:
1/3 = (1 × 3)/(3 × 3) = 3/9
4/9 is already in the correct form
Adding the Fractions
Now that we have both fractions with the same denominator, we can add them:
3/9 + 4/9 = ?
To add the fractions, we add the numerators (3 + 4 = 7) and keep the same denominator:
3/9 + 4/9 = 7/9
Therefore, the result of adding 1/3 and 4/9 is 7/9.
