Page:The Rhind Mathematical Papyrus, Volume I.pdf/89

32] The total is 14 $1/undefined$$1/undefined$$1/undefined$$1/undefined$$1/undefined$$1/undefined$$1/undefined$, which multiplied by 1$2/3$$1/undefined$$1/undefined$ makes 33.

Problem 32

''A quantity, its $1/undefined$, and its $1/undefined$, added together, become 2. What is the quantity?''

Multiply 1$1/undefined$$1/undefined$ so as to get 2.

Take 12 times 12.

We will apply our fractions to 144. For the given expression we have

The products above, taken as parts of 144, are equal to

228152763819.

The sum of the numbers here that correspond to the multipliers checked is equal to 285 and requires 3 more to make up 288, or 2 times 144. As 1$1/undefined$$1/undefined$ times 144 is 228 we shall have as a continuation of our first multiplication,

Adding together all the multipliers checked in this multiplication, we have 1$2/3$$1/undefined$$1/undefined$$1/undefined$ as the required quantity.