To add 3/7 and 5/14, we need to find a common denominator. The least common multiple of 7 and 14 is 14. So:
3/7 + 5/14 = (32)/(72) + 5/14= 6/14 + 5/14= 11/14
To subtract 8/9 and 7/12, we need to find a common denominator. The least common multiple of 9 and 12 is 36. So:
8/9 - 7/12 = (84)/(94) - 7/12= 32/36 - 7/12= 32/36 - 21/36= 11/36
To subtract 11/50, 3/25, and 1/20, we need to find a common denominator. The least common multiple of 50, 25, and 20 is 100. So:
11/50 - 3/25 + 1/20 = (112)/(502) - (34)/(254) + 5/100= 22/100 - 12/100 + 5/100= 15/100= 3/20
So, the results of the calculations are:
3/7 + 5/14 = 11/148/9 - 7/12 = 11/3611/50 - 3/25 + 1/20 = 3/20
To add 3/7 and 5/14, we need to find a common denominator. The least common multiple of 7 and 14 is 14. So:
3/7 + 5/14 = (32)/(72) + 5/14
= 6/14 + 5/14
= 11/14
To subtract 8/9 and 7/12, we need to find a common denominator. The least common multiple of 9 and 12 is 36. So:
8/9 - 7/12 = (84)/(94) - 7/12
= 32/36 - 7/12
= 32/36 - 21/36
= 11/36
To subtract 11/50, 3/25, and 1/20, we need to find a common denominator. The least common multiple of 50, 25, and 20 is 100. So:
11/50 - 3/25 + 1/20 = (112)/(502) - (34)/(254) + 5/100
= 22/100 - 12/100 + 5/100
= 15/100
= 3/20
So, the results of the calculations are:
3/7 + 5/14 = 11/14
8/9 - 7/12 = 11/36
11/50 - 3/25 + 1/20 = 3/20