if 3/4x +5/2 is subtracted from 1 and 1/3x - 4 and 2/3 what is the resulting expression
To subtract two expressions, we need to distribute the negative sign to each term in the expression being subtracted.
So, 1 and 1/3x - 4 and 2/3 - (3/4x + 5/2) can be rewritten as:
1 and 1/3x - 4 and 2/3 - 3/4x - 5/2
Now, we need to convert the mixed numbers to improper fractions:
1 = 3/3
1 and 1/3 = 3/3 + 1/3 = 4/3
4 and 2/3 = 4*3 + 2/3 = 14/3
Thus, the expression becomes:
(14/3) - (3/4x) - 5/2
Multiplying each term by 12 to clear the fractions:
(12*14)/3 - (12*3)/4x - (12*5)/2
168/3 - 36/4x - 60/2
Now, simplify the expression:
56 - 9x - 30
The resulting expression is 26 - 9x.
Therefore, the resulting expression is 26 - 9x.