Answer:
From least to greatest: {3/10 + 3/8}, {3/10 + 3/4}, {1 2/15 + 1/10}, {1 2/15 + 3/8}
Step-by-step explanation:
Simplify each expression:
1 2/15 + 1/10 = 17/15 + 1/10: The LCM is 30 because 15 × 2 is 30 and 10 × 3 = 30. So multiply 17/15 by 2 so you get 34/30. Then multiply 1/10 by 3 to get 3/30. So you get 34/30 + 3/30 = 37/30.
3/10 + 3/4: The LCM is 20 because 10 × 2 = 20 and 4 × 5 is 20. So multiply 3/10 by 2 so you get 6/20. Then multiply 3/4 by 5 so you get 15/20. So you get 6/20 + 15/20 = 21/20.
1 2/15 + 3/4 = 17/15 + 3/4: The LCM is 60 because 15 × 4 = 60 and 4 × 15 = 60. So multiply 17/15 by 4 to get 68/60. Then multiply 3/4 by 15 so you get 45/60. So you get 68/60 + 45/60 = 113/60.
3/10 + 3/8: The LCM is 40 because 10 × 4 = 40 and 8 × 5 = 40. So multiply 3/10 by 4 to get 12/40. Then 3/8 by 5 to get 15/40. So you get 12/40 + 15/40 = 27/40.
Now you have: 37/30, 21/20, 113/60, 27/40. Now you can use a calculator evaluate each quotient and determine the order of each expression.
