Question

Identify the ascending numerical order of these fractions: 3/10 , 3/8 , 2/5 , 1/4 , 3/6 .

Answer 1

To compare the fractions and arrange them in ascending numerical order, we can convert them to a common denominator or convert them to decimal form. Let's convert them to decimal form:

- \( \frac{3}{10} = 0.3 \)
- \( \frac{3}{8} = 0.375 \)
- \( \frac{2}{5} = 0.4 \) (since \( \frac{2}{5} = \frac{4}{10} = 0.4 \))
- \( \frac{1}{4} = 0.25 \) (since \( \frac{1}{4} = \frac{2.5}{10} = 0.25 \))
- \( \frac{3}{6} = 0.5 \) (since \( \frac{3}{6} = \frac{1}{2} = 0.5 \))

Now, arranging these decimal values in ascending order:

1. \( 0.25 \) (which corresponds to \( \frac{1}{4} \))
2. \( 0.3 \) (which corresponds to \( \frac{3}{10} \))
3. \( 0.375 \) (which corresponds to \( \frac{3}{8} \))
4. \( 0.4 \) (which corresponds to \( \frac{2}{5} \))
5. \( 0.5 \) (which corresponds to \( \frac{3}{6} \))

Thus, the fractions in ascending order are:

\( \frac{1}{4}, \frac{3}{10}, \frac{3}{8}, \frac{2}{5}, \frac{3}{6} \)