Question

Your county proposes a new bill to help provide funds for dog walkers at the local animal shelter. Over a two-day voting period, the county finds 3/8
of the voters are in favor of the bill and the next day 1/4
are in favor. How many total voters are in favor of the bill?

Answer 1

To determine how many total voters are in favor of the bill across the two-day voting period, we need to add the fractions representing the voters in favor from each day.

On the first day, \( \frac{3}{8} \) of the voters are in favor.
On the second day, \( \frac{1}{4} \) of the voters are in favor.

To add these fractions, we need a common denominator. The least common denominator of 8 and 4 is 8.

Now we convert \( \frac{1}{4} \) to a fraction with a denominator of 8:
\[
\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
\]

Now, we can add the two fractions:
\[
\frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8}
\]

Thus, \( \frac{5}{8} \) of the voters are in favor of the bill over the two-day voting period.

If you need to find the actual number of voters, you would need to know the total number of voters. Assuming the total number of voters is \( N \), then the total number of voters in favor of the bill would be:

\[
\frac{5}{8} \times N
\]

Feel free to provide the total number of voters \( N \) if you would like to calculate the exact number of voters in favor of the bill.