Which expression is A, in order to have a true equation A=5- 11/3
a.A=15/3+1/3
b.A=1 2/3+1/3
c.A=-1 2/3+1/3
d.A=1 2/3-1/3
The expression that is equivalent to A=5- 11/3 is:
b. A=1 2/3+1/3
To find the value of A in the equation A = 5 - 11/3, we will simplify the right side of the equation.
First, we need to find a common denominator for 5 and 11/3. The common denominator is 3, so we can rewrite 5 as 15/3.
Now, we can subtract 11/3 from 15/3.
15/3 - 11/3 = (15 - 11) / 3 = 4/3
Therefore, the expression that represents A in order to have a true equation A = 5 - 11/3 is:
a. A = 4/3
To determine which expression represents A in the given equation A = 5 - 11/3, you can simplify the right side of the equation and compare it to the given options.
Step 1: Simplify the right side of the equation:
First, find the common denominator for 5 and 11/3, which is 3. Convert 5 into a fraction with the denominator 3:
5 = 5/1 = 15/3.
Next, subtract 11/3 from 15/3:
15/3 - 11/3 = (15 - 11)/3 = 4/3.
So, the simplified right side of the equation is 4/3.
Step 2: Compare the simplified right side (4/3) to the options:
a. A = 15/3 + 1/3 = 16/3
b. A = 1 2/3 + 1/3 = 5/3
c. A = -1 2/3 + 1/3 = -1/3
d. A = 1 2/3 - 1/3 = 5/3
Among the options, the only one that matches the simplified right side (4/3) is option D: A = 1 2/3 - 1/3.
Therefore, the correct choice is d. A = 1 2/3 - 1/3.