Adding unit fractions +

The app proposes 31 challenges to overcome.

Build the proper fractions listed at the top of the application, adding two, three or four unit fractions.

Each proposed proper faction has a variable number of solutions.

And different levels of difficulty

You can not repeat unit fractions with the same value.

In the app you'll find a button to delete all the solutions found in the current problem, and to start from scratch.

The littlest unit fraction used in this app is 1/66.

The program is designed to show the usefulness of the subtraction of fractions in solving such problems.

From www.nummolt.com

This is an evolution of the "Old Egyptian Fractions" made in collaboration with www.mathcats.com

Hint:

In the Rhind Mathematical Papyrus (RMP) in 1650 BC the scribe Ahmes copied the now-lost test from the reign of the king Amenemamhat III .

The first part of the papyrus is taken up by the 2/n table. The fractions 2/n for odd n ranging from 3 to 101 are expressed as sums of unit fractions.

In this app you can build some of the Ahmes decompositions ( 2/3 , 2/5, 2/7, 2/9, 2/11 ) and the discarded ones by him also.

The app allow to decompose also: 3/4 , 3/5 , 4/5 , 5/6 , 3/7 , 4/7 , 5/7 , 6/7 , 3/8 , 5/8 , 7/8 , 4/9 , 5/9 , 7/9 , 8/9 , 3/10 , 7/10 , 9/10, 3/11, 4/11, 5/11, 6/11, 7/11, 8/11, 9/11, and 10/11.

You can use the knowledge acquired solving the 2/n decompositions to solve the rest of the problems.

The app warns of obtaining the best solution (the one with the lowest denominators)

If it's one of the problems appearing in the Rhind Mathematical Papyrus table, the app warns of coincidence with the solution written in the Rhind 2/n table.

More: http://nummolt.blogspot.com/2014/12/adding-unit-fractions.html

The app "Proper Fractions" (same developer) is the right tool that helps to solve 'adding unit fractions'