1. what is the LCD for 3/5 and 1/6
2. what is the difference between 3/7 and 1/14 and so on
plz help me
2 is 5/14
Sure, I'll be happy to help you with your questions.
1. To find the LCD (Least Common Denominator) for two fractions, you need to determine the smallest common multiple of the denominators. In this case, the denominators are 5 and 6.
To find the least common multiple (LCM) of two numbers, you can use either the listing method or the prime factorization method.
Listing method:
- Begin listing the multiples of each denominator until you find a common multiple.
- The multiples of 5: 5, 10, 15, 20, 25, ...
- The multiples of 6: 6, 12, 18, 24, ...
- The smallest common multiple is 30.
Prime factorization method:
- Factorize the two denominators into their prime factors.
- 5 = 5
- 6 = 2 * 3
- Take each prime factor with the greatest exponent.
- 2^1 * 3^1 * 5^1 = 2 * 3 * 5 = 30
Therefore, the LCD for 3/5 and 1/6 is 30.
2. The question you asked about the difference between fractions does not have a clear answer. To find the difference between two fractions, you generally need to subtract one from the other.
For example, to find the difference between 3/7 and 1/14:
- Find the common denominator by using the LCD (Least Common Denominator) method explained above. If necessary, convert both fractions to have the same denominator.
- Subtract the numerators of the two fractions while keeping the common denominator unchanged.
- (3/7) - (1/14) = (42/98) - (7/98) = 35/98
So the difference between 3/7 and 1/14 is 35/98.
I hope this helps you. Let me know if you have any further questions!
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6, 12, 18, 24, 30, 36, 42, 48
What number do these multiples of 5, and 6 have in common?
3/7 = 6/14