Question

What is the quotient when dividing 56r-12/4t

Answer 1

To simplify the expression \( \frac{56r - 12}{4t} \), we can divide each term in the numerator by the denominator \( 4t \).

1. Start by dividing each term in the numerator by \( 4t \):
\[
\frac{56r}{4t} - \frac{12}{4t}
\]

2. Simplify each term:
- For the first term:
\[
\frac{56r}{4t} = \frac{56}{4} \cdot \frac{r}{t} = 14 \cdot \frac{r}{t} = \frac{14r}{t}
\]
- For the second term:
\[
\frac{12}{4t} = \frac{12}{4} \cdot \frac{1}{t} = 3 \cdot \frac{1}{t} = \frac{3}{t}
\]

3. Combine the simplified terms:
\[
\frac{14r}{t} - \frac{3}{t}
\]

4. Since the terms have a common denominator of \( t \), we can combine them:
\[
\frac{14r - 3}{t}
\]

Thus, the simplified quotient of \( \frac{56r - 12}{4t} \) is:
\[
\frac{14r - 3}{t}
\]