Question

Quickly determine the lowest common denominator for each sum or difference.

a) Common Denominator: 10
13/24 + 7/12
b) Common Denominator: 24
7/6 + (-5/12)
c) Common Denominator: 12
-3/4 + (-2/3)
d) Common Denominator: 10
5 - 7/10
e) Common Denominator: 24
1/8 - 5/3
f) Common Denominator: 10
3/2 - 4/5

Answer 1

To find the lowest common denominator, we need to find the least common multiple of the denominators. We can use the LCM to determine the common denominator for each sum or difference.

Step-by-step explanation:

To determine the lowest common denominator for each sum or difference, we need to find the least common multiple (LCM) of the denominators.

Let's go through the given examples:

1. a) The denominators are 24 and 12. The LCM of 24 and 12 is 24. Therefore, the common denominator is 24.
2. b) The denominators are 6 and 12. The LCM of 6 and 12 is 12. Therefore, the common denominator is 12.
3. c) The denominators are 4 and 3. The LCM of 4 and 3 is 12. Therefore, the common denominator is 12.
4. d) The denominator is 10. Since the second term doesn't have a fraction, we can directly use the denominator 10 as the common denominator.
5. e) The denominators are 8 and 3. The LCM of 8 and 3 is 24. Therefore, the common denominator is 24.
6. f) The denominators are 2 and 5. The LCM of 2 and 5 is 10. Therefore, the common denominator is 10.