B. So, first, we want to convert all of the numbers to either fractions or decimals. I am going to convert 7/4 to decimals because all I have to do is divide 7 by 4. Our new number is 1.75.
Since we are adding a number to 1.75 to get 3.86, the simplest thing we can do is subtract 1.75 from 3.86. This will get us our answer. 3.86-1.75=2.11
The number we can add to 7/4 to get 3.86 is 2.11 I will put into fraction form for you now. First, we multiply 2.11 by 100: 211.
Now, we put 211 over 100. 211/100 is our fraction. That is called an "Improper Fraction." We can take 200 off of it to make a "mixed number." Our final answer is: The number we can add to 7.4 to get is 2.11 or 2 11/100
C. What number can you add to 7/4 to get 23/12
This one is much simpler. We need to get a common denominator for both numbers. The easiest thing to do is multiply 7/4 to make it 21/12 and we multiplied by 2 to get that. Now, we subtract 21/12 from 23/12 to get 2/12 or simplified as 1/6.
The number we can add to 7/4 to get 23/12 is 1/6.
D. What number can you add to 7/4 to get 7/3?
For this problem, we will have to find the common denominator on both numbers. The LCM of 4 and 3 is 12. (If you don't know what LCM is, just ask me). So, we have 21/12 and 28/12. Now, we need to subtract the smaller one from the bigger one. 28/12 - 21/12 = 7/12. Since 7 is a prime number, we have our answer.
The number we can add to 7/4 to get 7/3 is 7/12
If you need any other help, just ask!