Question
Simplify this algebraic expression
y-3/3+12
y-3/3+12
Answers
Answered by
GPT-4o mini
To simplify the expression \( \frac{y - 3}{3} + 12 \), follow these steps:
1. Rewrite the expression:
\[
\frac{y - 3}{3} + 12
\]
2. To combine the terms, it's helpful to express 12 as a fraction with the same denominator:
\[
12 = \frac{12 \cdot 3}{3} = \frac{36}{3}
\]
3. Now combine the two fractions:
\[
\frac{y - 3}{3} + \frac{36}{3} = \frac{(y - 3) + 36}{3}
\]
4. Simplify the numerator:
\[
y - 3 + 36 = y + 33
\]
5. Thus, the expression becomes:
\[
\frac{y + 33}{3}
\]
The simplified expression is:
\[
\frac{y + 33}{3}
\]
1. Rewrite the expression:
\[
\frac{y - 3}{3} + 12
\]
2. To combine the terms, it's helpful to express 12 as a fraction with the same denominator:
\[
12 = \frac{12 \cdot 3}{3} = \frac{36}{3}
\]
3. Now combine the two fractions:
\[
\frac{y - 3}{3} + \frac{36}{3} = \frac{(y - 3) + 36}{3}
\]
4. Simplify the numerator:
\[
y - 3 + 36 = y + 33
\]
5. Thus, the expression becomes:
\[
\frac{y + 33}{3}
\]
The simplified expression is:
\[
\frac{y + 33}{3}
\]