Arrange the following fractions in ascending order: 2/5, 1/2, 3/8, 3/10

Question

ScanSolve AI Tutor · Accepted Answer

To arrange fractions in ascending order, we need to compare their values. We can do this by finding a common denominator for all fractions.

Identify the given fractions.
The fractions are $\frac{2}{5}, \frac{1}{2}, \frac{3}{8}, \frac{3}{10}$ .
Find the least common multiple (LCM) of the denominators.
The denominators are 5, 2, 8, and 10.
The LCM of 5, 2, 8, 10 is 40.
Convert each fraction to an equivalent fraction with the common denominator of 40.
For $\frac{2}{5}$ :
$\frac{2}{5} = \frac{2 \times 8}{5 \times 8} = \frac{16}{40}$
For $\frac{1}{2}$ :
$\frac{1}{2} = \frac{1 \times 20}{2 \times 20} = \frac{20}{40}$
For $\frac{3}{8}$ :
$\frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40}$
For $\frac{3}{10}$ :
$\frac{3}{10} = \frac{3 \times 4}{10 \times 4} = \frac{12}{40}$
Compare the numerators of the equivalent fractions.
The equivalent fractions are $\frac{16}{40}, \frac{20}{40}, \frac{15}{40}, \frac{12}{40}$ .
Arranging the numerators in ascending order: 12, 15, 16, 20.
Write the original fractions in ascending order.
Corresponding to the ordered numerators, the fractions in ascending order are:
$\frac{12}{40} = \frac{3}{10}$
$\frac{15}{40} = \frac{3}{8}$
$\frac{16}{40} = \frac{2}{5}$
$\frac{20}{40} = \frac{1}{2}$

The fractions in ascending order are:
$\frac{3}{10}, \frac{3}{8}, \frac{2}{5}, \frac{1}{2}$

Answer