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Worksheet Worksheet 2

1.

Convert \(\frac{12}{7}\) from an improper fraction to a mixed number using a diagram.

2.

Suppose you are given the fraction \(\frac{a}{b}\) where \(a\) and \(b\) are both integers and \(b \neq 0\text{.}\) Describe a calculation that would give you the corresponding mixed number without drawing out a diagram.

3.

Determine the values corresponding to the positions indicated in the diagram below.

4.

Completely reduce the fractions \(\frac{21}{28}\) and \(\frac{18}{48}\text{.}\)

5.

Completely reduce the fractions \(\frac{8x^2}{6x^4}\) and \(\frac{15x^5}{35x^2}\text{.}\)