What is the quotient when dividing 56r−12/4t ?(1 point)

Question

Responses

14r−3
14 r minus 3

11rt
Start Fraction 11 r over t End Fraction

14r−3t
Start Fraction 14 r minus 3 over t End Fraction
..
11

Answer 1

To find the quotient when dividing \( 56r - 12 \) by \( 4t \), we can break it down as follows:

1. Divide each term in the numerator \( 56r - 12 \) by \( 4t \):

\[ \frac{56r}{4t} - \frac{12}{4t} \]

2. Simplify each term:

\[ \frac{56r}{4t} = \frac{56}{4} \cdot \frac{r}{t} = 14 \cdot \frac{r}{t} = \frac{14r}{t} \]

\[ \frac{12}{4t} = \frac{12}{4} \cdot \frac{1}{t} = 3 \cdot \frac{1}{t} = \frac{3}{t} \]

3. Combine the simplified terms:

\[ \frac{14r}{t} - \frac{3}{t} = \frac{14r - 3}{t} \]

Therefore, the final result when dividing \( 56r - 12 \) by \( 4t \) is:

\[ \frac{14r - 3}{t} \]

Thus, the correct response is:

14r−3t (Start Fraction 14 r minus 3 over t End Fraction).