divide these fractions and select the simplfied answer.

Question

14y divided by 7y/y-3
put 14y over 1 and divide the fractions normally.

A. 28y/y-3
B. 7y/y-3
C. 7y-21
D. 2y-6
E. y-3/2

Answer 1

To divide the fractions, we follow these steps:

1. **Convert Division to Multiplication**: When dividing by a fraction, multiply by its reciprocal.

2. **Simplify the Fractions**: Simplify where possible.

Let's solve it step by step.

Given expression:
\[ \frac{14y}{1} \div \frac{7y}{y-3} \]

**Step 1**: Convert division to multiplication by multiplying by the reciprocal of \(\frac{7y}{y-3}\):
\[ \frac{14y}{1} \times \frac{y-3}{7y} \]

**Step 2**: Multiply the numerators and the denominators:
\[ \frac{14y \cdot (y-3)}{1 \cdot 7y} = \frac{14y(y-3)}{7y} \]

**Step 3**: Simplify the fraction:
\[ \frac{14y(y-3)}{7y} = \frac{14(y-3)}{7} \]
\[ = 2(y-3) \]
\[ = 2y - 6 \]

Hence, the simplified answer is:

\[ D. \ 2y - 6 \]