FIND THE L.C.D. OF EACH AND EXPRESS THE FRACTIONS OF EACH IN TERMS OF THE L.C.D.
You may need to type those fractions here. Also, please tell us what you think the LCD's are.
1/2, 3/4, 3/8
The LCD is 8
1/2 = 4/8
3/4 = 6/8
To find the Least Common Denominator (LCD) of a set of fractions and express each fraction in terms of the LCD, follow these steps:
1. Identify the denominators of all the fractions given.
2. List all the prime factors of each denominator.
3. Identify the highest power of each prime factor that appears in any denominator.
4. Multiply the highest powers together to find the LCD.
For example, let's say we have the fractions 1/4 and 2/5:
1. The denominators are 4 and 5.
2. The prime factors of 4 are 2 and 2.
The prime factors of 5 are 5.
3. The highest power of 2 is 2 (2^2 = 4).
The highest power of 5 is 1 (5^1 = 5).
4. Multiply the highest powers together: 2 * 5 = 10.
Therefore, the LCD of 1/4 and 2/5 is 10.
To express each fraction in terms of the LCD, you need to modify the numerators accordingly:
1/4 can be multiplied by 2/2 to get 2/8.
2/5 can be multiplied by 2/2 to get 4/10.
So the fractions 1/4 and 2/5 in terms of the LCD of 10 are 2/8 and 4/10, respectively.