After hosting a fundraiser members of a community group made improvements to their town square. They spent (2)/(9) of the funds to add flower boxes, (5)/(8) of the funds for new signs and (11)/(72) of the funds for a town banner. Which statement is true? They spent the loast amount on flower boxes. They spent the greatest amount on the banner. They spent more on signs than on flower boxes. They spent less on flower boxes than on the banner.

## Step 1<br />The problem involves comparing fractions to determine which statement is true. The fractions represent the amount of funds spent on different improvements in the town square.<br /><br />## Step 2<br />The fractions given are \( \frac{2}{9} \) (for flower boxes), \( \frac{5}{8} \) (for new signs), and \( \frac{11}{72} \) (for a town banner).<br /><br />## Step 3<br />To compare these fractions, we need to convert them to a common denominator. The least common denominator (LCD) for 9, 8, and 72 is 72.<br /><br />## Step 4<br />Convert each fraction to have the denominator of 72:<br />### \( \frac{2}{9} = \frac{16}{72} \)<br />### \( \frac{5}{8} = \frac{45}{72} \)<br />### \( \frac{11}{72} = \frac{11}{72} \)<br /><br />## Step 5<br />Now, we can compare these fractions:<br />- \( \frac{16}{72} \) (flower boxes) is less than \( \frac{45}{72} \) (signs) and \( \frac{11}{72} \) (banner).<br />- \( \frac{45}{72} \) (signs) is greater than \( \frac{16}{72} \) (flower boxes) and \( \frac{11}{72} \) (banner).<br />- \( \frac{11}{72} \) (banner) is less than \( \16}{72} \) (flower boxes) and \( \frac{45}{72} \) (signs).