correct or ot correct?
x - 2 1/3 = -4 4/15
x= - 2 7/15?
Not correct. What's 2 1/3-4 4 /15?
oh ya I see my mistake! Is -2 something?
Yes, it is -2 something lol
is it -2 1/15 or no?
x - 2 1/3 = 4 4/15.
Change mixed numbers to improper fractions and get:
x - 7/3 = -64/15,
x = 7/3 - 64/15,
common denominator - 15,
x = 35/15 - 64/15 = -29/15 = -1 14/15.
CHECK:
-29/15 - 2 1/3,
-29/15 - 7/3,
-29/15 - 35/15 = -64/15 = -4 4/15.
To determine whether x = -2 7/15 is the correct solution for the equation x - 2 1/3 = -4 4/15, we can solve the equation step-by-step.
1. Start by converting the mixed numbers into improper fractions.
- 2 1/3 can be written as 7/3.
- -4 4/15 can be written as -64/15.
2. Now, substitute these values into the equation and solve for x.
x - 7/3 = -64/15
3. To eliminate fractions, we can multiply the entire equation by the least common multiple (LCM) of the denominators of 3 and 15, which is 15.
15(x - 7/3) = 15(-64/15)
Simplifying this equation, we get:
15x - 35 = -64
4. Solve for x:
Add 35 to both sides of the equation:
15x = -64 + 35
15x = -29
Divide both sides by 15:
x = -29/15
Therefore, the correct solution for the equation x - 2 1/3 = -4 4/15 is x = -29/15, not x = -2 7/15.