Developing skills of mathematical reasoning


Assignment:

Ruth was investigating fraction differences. She wrote down this sequence of fractions:

1/1, 1/2, 1/3, 1/4, 1,5 1,6 ... ...

Then she worked out the difference between the consecutive fractions:

1/2, 1/6, 1/12, 1/20, 1/30, .. ..

She Then worked out the differences between the Fractions in her second series.

1/3, 1/12 ... ...

Investigate Further:

When doing this question make sure your look at these three things,

1. Making and monitoring decions to solve problems.
2.Communicating mathematically.
3.Developing skills of mathematical reasoning.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Developing skills of mathematical reasoning
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