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Answer:
1 1/12
Step-by-step explanation:
b-7/4=-2/3
First, in an equation like this, you add 7/4 to each side which will look like this:
b-7/4=-2/3
+7/4=+7/4
We add 7/4 to each side of the equation to balance the numbers.
b=+7/4-2/3 (because the minus symbol is in front, we put that)
Before adding we have to find the least common denominator known as LCD.
We find that by first looking at the denominators or the fractions which are 4,3
4,8,\12/,16,20,24.
3,6,9,\12/,15,18,21,24.
We can also find the LCD by multiplying 3 and 4. As you can see in the list, there are 12's in each list of numbers. We use that to change our fractions.
From the number 4 we find out how many times (x) we have to add 4 to get 12. We do 12/4 which is 3. And 12/3 which is 4.
7 x 3 2 x 4
------- - -------
4 x 3 3 x 4
which equals 21/12-8/12. Now that we have a common denominator, we can subtract.
21 8 13
--- - --- = ----- = 1
12 12 12
I hope this helps, please let me know if I have any incorrections. :D