Put the following in ascending order: a) 1/3, 2/5, 3/8 b) 4/9, 2/3, 1/4 c) 5/12, 1/2, 3/10

Steps to Solve

1. Convert each fraction to a decimal for comparison. To easily compare and order the fractions, we convert each to its decimal equivalent by dividing the numerator by the denominator.

2. a) Convert $\frac{1}{3}, \frac{2}{5}, \frac{3}{8}$ to decimals $\frac{1}{3} \approx 0.333$ $\frac{2}{5} = 0.4$ $\frac{3}{8} = 0.375$

3. a) Arrange in ascending order Comparing the decimal values, we have $0.333 < 0.375 < 0.4$. Therefore, the fractions in ascending order are $\frac{1}{3}, \frac{3}{8}, \frac{2}{5}$.

4. b) Convert $\frac{4}{9}, \frac{2}{3}, \frac{1}{4}$ to decimals $\frac{4}{9} \approx 0.444$ $\frac{2}{3} \approx 0.667$ $\frac{1}{4} = 0.25$

5. b) Arrange in ascending order Comparing the decimal values, we have $0.25 < 0.444 < 0.667$. Therefore, the fractions in ascending order are $\frac{1}{4}, \frac{4}{9}, \frac{2}{3}$.

6. c) Convert $\frac{5}{12}, \frac{1}{2}, \frac{3}{10}$ to decimals $\frac{5}{12} \approx 0.417$ $\frac{1}{2} = 0.5$ $\frac{3}{10} = 0.3$

7. c) Arrange in ascending order Comparing the decimal values, we have $0.3 < 0.417 < 0.5$. Therefore, the fractions in ascending order are $\frac{3}{10}, \frac{5}{12}, \frac{1}{2}$.