Grampy's favorite game is hide and seek. He is hiding at a fractional distance between the beginning and the end of the fence.

When Grampy hides, Grammy will tell you the total number of equally-spaced positions along the fence. That number of equally-spaced positions is the denominator of the fractional distance. The denominator will tell you the size of the spaces. The higher the denominator the smaller the spaces.

The bottom number 5 in the numeral Numeral two - fifths is the denominator. In this example there are 5 equal spaces in the fence.

Grampy will hide at end of a space. You are to determine the number of spaces Grampy traveled along the fence That number is the numerator of the fraction. The numerator tells you the number of pieces Grampy traveled along the fence. You are to guess which equally-spaced position he is hiding at. You will enter the numerator of this fractional distance.

The top number 2 in the numeral numeral two fifthsis the numerator. The numerator tells us which equally-spaced position he is hiding behind.

Grammy will help by pointing to your right if the fraction is too small and to your left if the fraction is too large.

Grampy does not hide himself well.  You will see the top of his head behind the fence.

The computer will keep track of the number of times you find Grampy and the number of tries.

Press the <Report> button to make a report card. This button will open a dialog that asks you to submit your name. You may prefer to submit a code for your name. The <Send> key on the dialog box will open a new browser window with your printable report card.

See the program How to Identify Fractions for more information on numerator and denominator.

Qualify as a GRAMPY FINDER by achieving a perfect score with 5 or more examples.

Qualify as a CHAMPION GRAMPY FINDER by achieving a perfect score with 10 or more examples.


  1. The relative distances of different fractions along a number line.
  2. How the denominator determines the size of a space.
  3. How the numerator determines the number of spaces.