since 7 and 5 have no common factors, the LCD is 7*5 = 35
1/7 = 5/35
3/5 = 21/35
1/7 = 5/35
3/5 = 21/35
To find the LCD for 1/7 and 3/5, we need to figure out the smallest number that both 7 and 5 can go into.
The multiples of 7 are 7, 14, 21, 28... and so on.
The multiples of 5 are 5, 10, 15, 20... and so on.
From this, we can see that the first number that both 7 and 5 can go into is 35!
Therefore, 35 is the LCD for the fractions 1/7 and 3/5. Ta-dah!
The multiples of 7 are: 7, 14, 21, 28, 35, 42, ...
The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, ....
We can see that the smallest common multiple of 7 and 5 is 35.
Therefore, the LCD for the fractions 1/7 and 3/5 is 35.
For the fractions 1/7 and 3/5:
The denominator of the first fraction is 7.
The denominator of the second fraction is 5.
To find the LCD, we need to find the smallest number that both 7 and 5 can divide evenly into. To do this, we can start by listing the multiples of each number and look for the first common multiple:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, ...
From the above lists, we can see that the first common multiple of 7 and 5 is 35.
Therefore, the Least Common Denominator (LCD) for the fractions 1/7 and 3/5 is 35.