To add fractions, we need to find a common denominator.
For the first expression, 3/4 + 5/18:
First, find the least common multiple (LCM) of 4 and 18, which is 36.
Now, rewrite the fractions with the common denominator of 36:
3/4 = 27/365/18 = 10/36
Now, add the fractions:
27/36 + 10/36 = 37/36
Therefore, 3/4 + 5/18 = 37/36
For the second expression, 4/210 + 5/140:
First, find the least common multiple (LCM) of 210 and 140, which is 420.
Now, rewrite the fractions with the common denominator of 420:
4/210 = 8/4205/140 = 15/420
8/420 + 15/420 = 23/420
Therefore, 4/210 + 5/140 = 23/420
To add fractions, we need to find a common denominator.
For the first expression, 3/4 + 5/18:
First, find the least common multiple (LCM) of 4 and 18, which is 36.
Now, rewrite the fractions with the common denominator of 36:
3/4 = 27/36
5/18 = 10/36
Now, add the fractions:
27/36 + 10/36 = 37/36
Therefore, 3/4 + 5/18 = 37/36
For the second expression, 4/210 + 5/140:
First, find the least common multiple (LCM) of 210 and 140, which is 420.
Now, rewrite the fractions with the common denominator of 420:
4/210 = 8/420
5/140 = 15/420
Now, add the fractions:
8/420 + 15/420 = 23/420
Therefore, 4/210 + 5/140 = 23/420