On the left side of the equation, we have 1/2 m+7. To rewrite this equation without a fraction, we can multiply the left side of the equation by the reciprocal of 1/2, 2. Then, we need to multiply the right side by 2 as well to keep the equation balanced. Go for it.

Question

1/2 m+7 = m+15
2 x ( 1/2m+7) 2 x(m+15)
? = ?

Answer 1

Let's go through the steps to eliminate the fraction from the equation and balance both sides.

Starting with the equation:

\[ \frac{1}{2} m + 7 = m + 15 \]

We will multiply both sides by 2 to eliminate the fraction:

\[ 2 \times \left( \frac{1}{2} m + 7 \right) = 2 \times (m + 15) \]

Now, let's distribute the 2 on both sides:

On the left side:

\[ 2 \times \frac{1}{2} m + 2 \times 7 = m + 14 \]

This simplifies to:

\[ m + 14 \]

On the right side:

\[ 2 \times m + 2 \times 15 = 2m + 30 \]

Now, we can rewrite the equation:

\[ m + 14 = 2m + 30 \]

So to summarize, after eliminating the fraction we have:

\[ m + 14 = 2m + 30 \]

This is the re-written equation without fractions.