Add: 1/3+-5/6+ -1/2
Add: 1/3+-5/6+ -1/2
First, find the common denominator, which is 6.
1/3 = 2/6
1/2 = 3/6
2/6 + 5/6 + (-3/6) = 7/6 - 3/6 = ?
Don't forget to reduce your answer.
do you know physical science?
To add fractions, you need to have a common denominator. The common denominator is the least common multiple of the denominators of the fractions involved.
Let's first find the least common multiple (LCM) of 3, 6, and 2, which are the denominators of the fractions 1/3, -5/6, and -1/2, respectively.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, ...
The multiples of 6 are: 6, 12, 18, 24, 30, 36, ...
The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, ...
The common multiples of 3, 6, and 2 are: 6, 12, 18, 24, ...
Therefore, the least common multiple (LCM) of 3, 6, and 2 is 6.
Now, let's convert the fractions 1/3, -5/6, and -1/2 so that they all have a denominator of 6.
To convert 1/3 to have a denominator of 6, multiply both the numerator and the denominator by 2:
1/3 * 2/2 = 2/6
To convert -5/6 to have a denominator of 6, multiply both the numerator and the denominator by 1:
-5/6 * 1/1 = -5/6
To convert -1/2 to have a denominator of 6, multiply both the numerator and the denominator by 3:
-1/2 * 3/3 = -3/6
Now, we have:
2/6 + -5/6 + -3/6
Since the denominators are the same, we can add the numerators directly:
2 + (-5) + (-3) = -6
Therefore, the sum of 1/3, -5/6, and -1/2 is -6/6 or simply -1.