Put the following in ascending order: A) 1/3, 2/5, 3/8 B) 4/9, 2/3, 3/4 C) 5/12, 1/2, 2/10

Steps to Solve

Here's how to solve this problem:

1. Convert each fraction in option A to a decimal Divide the numerator by the denominator for each fraction: $\frac{1}{3} \approx 0.333$ $\frac{2}{5} = 0.4$ $\frac{3}{8} = 0.375$

2. Check if option A is in ascending order Comparing the decimal values, we have $0.333 < 0.375 < 0.4$. Therefore, $\frac{1}{3} < \frac{3}{8} < \frac{2}{5}$. This is not the order given, so option A is not correct.

3. Convert each fraction in option B to a decimal Divide the numerator by the denominator for each fraction: $\frac{4}{9} \approx 0.444$ $\frac{2}{3} \approx 0.667$ $\frac{3}{4} = 0.75$

4. Check if option B is in ascending order Comparing the decimal values, we have $0.444 < 0.667 < 0.75$. Therefore, $\frac{4}{9} < \frac{2}{3} < \frac{3}{4}$. This is the order given, so option B is correct.

5. Convert each fraction in option C to a decimal Divide the numerator by the denominator for each fraction: $\frac{5}{12} \approx 0.417$ $\frac{1}{2} = 0.5$ $\frac{3}{10} = 0.3$

6. Check if the option C is in ascending order Comparing the decimal values, we have $0.417 < 0.5$ but $0.5 > 0.3$. Therefore, $\frac{5}{12} < \frac{1}{2}$ but $\frac{1}{2} > \frac{3}{10}$. This is not the order given so option C is not correct