To arrange the given rational numbers [tex]\(\frac{11}{7}\)[/tex], [tex]\(\frac{7}{12}\)[/tex], [tex]\(\frac{3}{4}\)[/tex], and [tex]\(\frac{3}{8}\)[/tex] in ascending order, we need to follow these steps:
1. Understand the Problem:
We need to compare the given fractions and arrange them from the smallest to the largest.
2. List the Given Fractions:
We have the fractions:
[tex]\[
\frac{11}{7}, \frac{7}{12}, \frac{3}{4}, \frac{3}{8}
\][/tex]
3. Convert Fractions to Decimal Form (if needed for easy comparison):
Let's understand the size of each fraction:
[tex]\[
\frac{11}{7} \approx 1.5714, \quad \frac{7}{12} \approx 0.5833, \quad \frac{3}{4} = 0.75, \quad \frac{3}{8} = 0.375
\][/tex]
4. Compare the Fractions:
By comparing the decimal forms of the fractions:
[tex]\[
\frac{3}{8} (\approx 0.375) < \frac{7}{12} (\approx 0.5833) < \frac{3}{4} (0.75) < \frac{11}{7} (\approx 1.5714)
\][/tex]
5. Arrange the Fractions in Ascending Order:
The order from the smallest to the largest fraction is:
[tex]\[
\frac{3}{8}, \frac{7}{12}, \frac{3}{4}, \frac{11}{7}
\][/tex]
So, the rational numbers [tex]\(\frac{11}{7}\)[/tex], [tex]\(\frac{7}{12}\)[/tex], [tex]\(\frac{3}{4}\)[/tex], and [tex]\(\frac{3}{8}\)[/tex] arranged in ascending order are:
[tex]\[
\boxed{\frac{3}{8}, \frac{7}{12}, \frac{3}{4}, \frac{11}{7}}
\][/tex]
