To simplify ratios, find the greatest common divisor (GCD) of each pair and divide both terms by it. For the Claremont Community Center, ratios such as Home Team supporters to total are simplified by calculating the GCD and then dividing both terms of the ratio by that number.
Step-by-step explanation:
To determine if the ratios given based on the Claremont Community Center scenario are in simplest form, we first need to find how many people were undecided. Since there are 225 people in total, and 51 are supporting the Home Team while 40 support the Away Team, we can calculate the number of undecided people by subtracting the sum of Home and Away supporters from the total:
Undecided = 225 - (51 + 40) = 225 - 91 = 134
Now we can write each ratio:
Home Team supporters to total: 51 to 225
Away Team supporters to total: 40 to 225
Undecided to total: 134 to 225
To simplify these, divide both terms in each ratio by their greatest common divisor (GCD). For example, for the Home Team to total ratio, the GCD of 51 and 225 is 3, so:
51/3 to 225/3 = 17 to 75
Using similar steps, simplify the other ratios respectively.
The probable question can be: Write each ratio in simplest form based on the following situation. At Claremont Community Center, there are_ 225 people in the gym to watch a basketball tournament, of which 51 are students supporting the “Home Team, 40 students supporting the “Away Team”, and the rest were “undecided” . Show all work below, then answer in the next box.