what fraction is the largest? 3 2/3 or 3 3/4 or 3 1/2 or 3 3/5?

Use the equivalent fractions with a common denominator.

http://www.mathsisfun.com/equivalent_fractions.html

13 5/7

3 3/4

turn up

To determine which fraction is the largest, you can convert them all to a common denominator and then compare the numerators. Here's how you can do it step-by-step:

1. Convert each mixed fraction to an improper fraction.
- 3 2/3 = (3 * 3 + 2)/3 = 11/3
- 3 3/4 = (3 * 4 + 3)/4 = 15/4
- 3 1/2 = (3 * 2 + 1)/2 = 7/2
- 3 3/5 = (3 * 5 + 3)/5 = 18/5

2. Find the least common denominator (LCD) of the fractions. In this case, since the denominators are 3, 4, 2, and 5, the LCD is 60.

3. Convert each fraction to have a denominator of 60.
- 11/3 = (11 * 20)/(3 * 20) = 220/60
- 15/4 = (15 * 15)/(4 * 15) = 225/60
- 7/2 = (7 * 30)/(2 * 30) = 210/60
- 18/5 = (18 * 12)/(5 * 12) = 216/60

Now that all the fractions have the same denominator, we can compare their numerators to determine the largest fraction. Comparing the numerators:

- 220/60 is smaller than 225/60.
- 225/60 is larger than 210/60.
- 225/60 is also larger than 216/60.

Therefore, the largest fraction among 3 2/3, 3 3/4, 3 1/2, and 3 3/5 is 3 3/4.