Egyptian fractions worksheet

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Or search by topic. Egyptian Fractions printable sheet. Instead they wrote fractions like these as a sum of different unit fractions. You can start by exploring unit fractions at Keep it Simple In this problem we are going to start by considering how the Egyptians might have written fractions with a numerator of 2 i. You might want to check that these are correct.

Egyptian fractions worksheet

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number. This helps prepare them for writing algebraic expressions in 6th grade. This task is an instructional task; the teacher may wish to supplement part b of the question in two directions:. In general, however, they used tables in order to break down fractions into sums of unit fractions. One issue which comes up in the solution is that there are apparently many ways to write an Egyptian fraction. This leads to an interesting question: how do you find the "best'' Egyptian fraction representing a given fraction? Here a reasonable interpretation of "best'' would be one which has the smallest number of unit fractions. This problem will be addressed in a second task which falls under the high school algebra standards.

Access to the internet Copymasters One and Two. Add to plan.

Pupils can learn about fractions by doing divisions the Egyptian way! Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. Simple and wonderfully clear explanations of how to do it and why it was practical. Empty reply does not make any sense for the end user.

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number. This helps prepare them for writing algebraic expressions in 6th grade. This task is an instructional task; the teacher may wish to supplement part b of the question in two directions:.

Egyptian fractions worksheet

Consider the problem: Share 7 pies equally among 12 kids. Suppose we took this task as a very practical problem. Here are the seven pies:. How about the next best thing — can each child get half a pie? There are certainly 12 half pies to dole out. There is also one pie left over yet to be shared among the 12 kids. Divide this into twelfths and hand each kid an extra piece. This seems quite reasonable. Following the example above, how could you do it?

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But that can come later. This is a mechanical way that must produce an answer. Can something be done in a particular way? Or search by topic. There are a number of things that they could report on. Then it can be seen that any Egyptian Fraction can be written as the sum of two Egyptian Fractions. Is there any pattern here? Session 5 There is still a considerable amount to learn about Egyptian Fractions. A little research on this topic will show that famous mathematicians have asked and answered questions about the Egyptian fraction system for hundreds of years. Our customer service team will review your report and will be in touch. Pupils can learn about fractions by doing divisions the Egyptian way! All of the fractions we have considered do have Egyptian Fraction representations. Get them to work in their groups on the Egyptian Fractions in Copymaster 2. Did the class manage to find any patterns where two Egyptian Fractions did not add to an Egyptian Fraction?

Or search by topic. Egyptian Fractions printable sheet.

This task is an instructional task; the teacher may wish to supplement part b of the question in two directions:. When is the sum of two Egyptian Fractions an Egyptian Fraction? Let the groups work on these questions to see what they can find. Not quite what you were looking for? Specific Learning Outcomes. You can start by exploring unit fractions at Keep it Simple In this problem we are going to start by considering how the Egyptians might have written fractions with a numerator of 2 i. One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Get them to work in their groups on the Egyptian Fractions in Copymaster 2. What about four Egyptian Fractions? Can something be done in an infinite number of ways? So in this lesson, we consider how to split up arbitrary fractions into Egyptian Fractions. A little research on this topic will show that famous mathematicians have asked and answered questions about the Egyptian fraction system for hundreds of years.