Fractions (Proper fractions, Improper fractions and Mixed numbers)：練習問題

Which of the following describes a proper fraction?

Consider the following list of numbers:
\( \frac{11}{4} \), \( 2\frac{1}{2} \), \( \frac{9}{4} \)
Arrange them in ascending order.

Which of the following fractions has a value greater than \( 2\frac{1}{4} \) but less than \( \frac{10}{4} \)?

Which of the following values is equal to the mixed number \( 3\frac{2}{5} \)?

Which of the following fractions is in its lowest terms?

Convert the improper fraction \(\frac{13}{5}\) into a mixed number.

Express the mixed number \(2\frac{3}{5}\) as an improper fraction. Show your steps.

Consider the three numbers: \( \frac{19}{4} \), \( 4\frac{5}{6} \), and \( \frac{14}{3} \). Find the difference between the sum of the largest and smallest numbers and the remaining number. Express your answer as a mixed number in its simplest form.

Look at the fraction \( \frac{7}{4} \).
a) Is this a proper fraction or an improper fraction? Explain why.
b) Convert \( \frac{7}{4} \) into a mixed number.

Arrange the following numbers in ascending order: \( \frac{9}{4}, 2\frac{1}{4}, \frac{5}{2}, 2\frac{3}{8} \). Show your working clearly.