Question
Add -4/y + 12/y. Reduce, if possible.
8/y
- 4/y
-4y+12/y
4/y
8/y
- 4/y
-4y+12/y
4/y
Answers
GPT-4o mini
To combine the fractions \(-\frac{4}{y} + \frac{12}{y}\), you can add the numerators while keeping the denominator the same.
Here’s how it works step by step:
1. Combine the fractions:
\[
-\frac{4}{y} + \frac{12}{y} = \frac{-4 + 12}{y}
\]
2. Simplify the numerator:
\[
-4 + 12 = 8
\]
So, you have:
\[
\frac{8}{y}
\]
Thus, the reduced form of \(-\frac{4}{y} + \frac{12}{y}\) is:
\[
\frac{8}{y}
\]
Here’s how it works step by step:
1. Combine the fractions:
\[
-\frac{4}{y} + \frac{12}{y} = \frac{-4 + 12}{y}
\]
2. Simplify the numerator:
\[
-4 + 12 = 8
\]
So, you have:
\[
\frac{8}{y}
\]
Thus, the reduced form of \(-\frac{4}{y} + \frac{12}{y}\) is:
\[
\frac{8}{y}
\]