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?(1 point)

Answer 1

To find the total number of voters in favor of the bill, we need to add the fraction of voters in favor from each day.

On the first day, 3/8 of the voters are in favor of the bill.
On the second day, 1/4 of the voters are in favor of the bill.

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

Converting 3/8 to have a denominator of 8:
3/8 = 3/8 * 2/2 = 6/16

Adding 6/16 and 1/4:
6/16 + 1/4 = 6/16 + 4/16 = 10/16

Therefore, a total of 10/16 of the voters are in favor of the bill.

To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
10/16 ÷ 2/2 = 5/8

Therefore, a total of 5/8 of the voters are in favor of the bill.

If we assume the total number of voters in the county is "x", then the number of voters in favor of the bill would be (5/8) * x.

So, the total number of voters in favor of the bill would be (5/8) * x.