Worksheet Worksheet 3
1.
Convert \(2 \frac{3}{8}\) from a mixed number to an improper fraction using a diagram.
2.
Suppose you are given the mixed number \(a \frac{b}{c}\) where \(a\text{,}\) \(b\) and \(c\) are all integers and \(c \neq 0\text{.}\) Describe a calculation that would give you the corresponding improper fraction without drawing out a diagram.
3.
Determine the values corresponding to the positions indicated in the diagram below.
4.
Completely reduce the fractions \(\frac{25}{40}\) and \(\frac{12}{27}\text{.}\)
5.
Completely reduce the fractions \(\frac{10x^3y^2}{25xy^5}\) and \(\frac{21a^3 b^3}{49a^3b^2}\text{.}\)