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 divide the expression \( 56r - 12 \) by \( 4t \), we can break it down:

1. Separate the terms: \[ \frac{56r - 12}{4t} = \frac{56r}{4t} - \frac{12}{4t} \]

2. Simplify each term:

   • For \( \frac{56r}{4t} \): \[ \frac{56}{4} = 14 \quad \text{so} \quad \frac{56r}{4t} = \frac{14r}{t} \]

   • For \( \frac{12}{4t} \): \[ \frac{12}{4} = 3 \quad \text{so} \quad \frac{12}{4t} = \frac{3}{t} \]

3. Combine the simplified terms: \[ \frac{56r - 12}{4t} = \frac{14r}{t} - \frac{3}{t} \]

   This can also be written as: \[ \frac{14r - 3}{t} \]

So the quotient when dividing \( 56r - 12 \) by \( 4t \) is: \[ \frac{14r - 3}{t} \]

The correct response among the options provided is: \[ \text{Start Fraction } 14 r - 3 \text{ over } t \text{ End Fraction} \]