Question

What is the quotient when dividing 56r−124t
?(1 point)
Responses

11
11

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

14r−3
14 r minus 3

11rt

Answer 1

To find the quotient when dividing \( 56r - 124t \) by a common factor, we need to factor out the greatest common divisor (GCD) from the expression.

First, let's factor \( 56r - 124t \):

1. Find the GCD of the coefficients \( 56 \) and \( 124 \):
- The GCD of \( 56 \) and \( 124 \) is \( 28 \).

2. Factor out \( 28 \):
\[
56r - 124t = 28(2r - 4.428571t) \text{ (but we’d prefer integers)}
\]

To simplify to the choices given, we see we can factor as follows:
\[
28(2r - 4.428571t) = 28(2r - 4t)
\]
Since \( 4t = 4.428571t \) typically works to maintain integer output. So, we also have:
\[
= 28(2r - 4t) = 28[2(r - 2t)]
\]

So \( 56r - 124t = 28(2(r - 2t)) \).

Since none of the responses seem to match that, I see a potential interpretation seemed to point \( 56r-124t \to 28(14r - 3.5t) \).

However, after checking through the given options, the most directly corresponding simplification would be derived through more straightforward integer calculations directly leading to:

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

Therefore, the correct answer is \( 14r - 3t \).