Recommended Investigations

What is .999...?: Can a number have two decimal representations?

Creating Integers : Explore the relationship between a fraction and its decimal equivalent.

Dividing by zero : Why can't the denominator of a fraction be zero?

Splitting fractions in "two" : Find two unique unit fractions whose sum is equal to a given fraction.

Proper fraction fury : Investigate procedures with proper fractions.

Perfect square: Find a perfect square with a specified property.

The Salesman and the Eggs : Find the number of eggs sold when a salesman sells a fraction of his eggs at a time.

Unusual Property: Identify two fractions whose sum is equal to the sum of the numerators divided by the sum of the denominators.

Buying Pollywogs: Find the regular price of one pollywog.

Increasing by One-Half: Can you increase a fraction by one-half by adding the same integer to both the numerator and denominator?

Halfway to a Series: Find the sum of a series.

Students in the Class: Determine the number of boys and girls in a class.

Growing Strawberries: How many pints of strawberries will you have to grow before you earn a profit?

Surrounding Numbers: Supply missing numbers that are equally spaced and "surround" 2.1 on the given number lines.

Bus Stops: How many people were on a bus before the bus reached its first stop?

Renting a Car: Is it more economical to rent a car or ride the bus?

Math and Cookies: Determine a fair payment for people who want to share cookies.

Amazing Fractions: Find a set of digits that will produce a special property when simplifying fractions.

Decimal Pattern: Examine the patterns in a graph of the truncated portion of a multiple as a function of its multiple.

Continued Fractions: Determine the value of a fraction that continually repeats itself.

What Values of...?: Find situations where a fractional expression can simplify to a whole number.

Integers and Egyptian Fractions: Explore partial sums of series when they are equal to an integer value.

Submit your idea for an investigation to InterMath.