Recognise Mixed Numbers and Improper Fractions 4 - Reasoning

Rosie is faced with a task that involves understanding fractions to make tea. The instructions she reads ask for "6/4 cups of water" to be poured. To achieve this, she needs to recognise that 6/4 is an improper fraction, where the numerator is larger than the denominator. This fraction can be simplified to a mixed number to make it easier to measure out the water. By converting 6/4 cups into a mixed number, Rosie finds that it is equivalent to 1 whole cup and 2/4 of a cup, which simplifies further to 1 and 1/2 cups of water. Therefore, to follow the instructions accurately, Rosie can pour one full cup of water and then an additional half cup to make the perfect amount of water for her tea.

The concept of mixed numbers and improper fractions is important in situations like Rosie's, where practical application is required. In this scenario, understanding how to convert between these two forms of fractions allows for accurate measurement. By doing so, Rosie can confidently prepare her tea with the correct amount of water. The reasoning behind the solution involves breaking down the improper fraction into a more understandable form, which in this case, is 1 and 1/2 cups. This process is essential for anyone dealing with fractions in both educational settings and everyday life, ensuring precision in tasks that involve measuring and following instructions.