Khan Academy Wiki

The Comparing fractions with the same numerator or denominator exercise appears under the 3rd grade (U.S.) Math Mission, 4th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise asks users to begin comparing simple fractions.

Types of Problems[]

There is only one type of problem in this exercise:

1. Comparing fractions with same numerator: This type of exercise asks users to compare two fractions with a common numerator using the less than and greater than signs (Eg: < or >)
2. Comparing fractions with the same denominator: This problems asks the user to use the inequality symbol to compare fractions with the same denominator. It is a selection from a multiple choice list.

Strategies[]

Knowing how to generally compare size is valuable for success on this problem but there are strategies that exist that make it unnecessary.

  1. If the numerators are the same, the bigger denominator is smaller.
  2. If the denominators are the same, the bigger numerator is bigger.

Real-life Applications[]

  1. Fractions appear in every-day media to display information to consumers.
  2. Fractions are used in real life in lots of different ways, but are commonly used in cooking, construction and science.