Find (1/4x−3)+(3/16x+5) .
To find the value of the expression (1/4x - 3) + (3/16x + 5), we need to combine like terms by simplifying and adding or subtracting the numbers.
Step 1: Simplify each fraction individually.
The first fraction, 1/4x, cannot be simplified any further. The second fraction, 3/16x, can be simplified by multiplying both the numerator (3) and the denominator (16) by 4. This gives us 12/64x.
So the expression becomes:
(1/4x - 3) + (12/64x + 5)
Step 2: Combine like terms.
To combine the fractions, we need to find a common denominator. The least common multiple of 4 and 64 is 64. We can rewrite the fractions with the common denominator:
(1/4x - 3) + (12/64x + 5)
= 16/64x - 3 + 12/64x + 5
Step 3: Simplify the expression further.
Now we can add or subtract the numbers to get the final result:
= (16/64x + 12/64x) - 3 + 5
= 28/64x - 3 + 5
= 28/64x + 2
Therefore, the simplified expression is 28/64x + 2.
maybe from now on you can show some of your work ...
1/4 x - 3 + 3/16 x + 5
4/16 x + 3/16 x - 3 + 5
7/16 x + 2