Question

simplify with addition and subtraction
listen
simplify the expression by combining like terms.
\\(\frac{1}{2}d - \frac{3}{4}d + 3f - 2f\\)
enter your answer as an expression, like this: 42x+53

Explanation:

Step1: Combine like terms with \( d \)

First, we handle the terms with \( d \). We have \( \frac{1}{2}d - \frac{3}{4}d \). To combine these, we need a common denominator. The common denominator of 2 and 4 is 4. So we rewrite \( \frac{1}{2}d \) as \( \frac{2}{4}d \). Then we subtract: \( \frac{2}{4}d - \frac{3}{4}d = \frac{2 - 3}{4}d = -\frac{1}{4}d \).

Step2: Combine like terms with \( f \)

Next, we handle the terms with \( f \). We have \( 3f - 2f \). Subtracting these gives \( (3 - 2)f = f \).

Step3: Combine the results

Now we combine the results from Step 1 and Step 2. So the simplified expression is \( -\frac{1}{4}d + f \).

Answer:

\(-\frac{1}{4}d + f\)