Decompose fractions with denominators of 100

The  exercise appears under the 4th grade (U.S.) Math Mission. This exercise breaks fractions over 100 into tenths and hundredths.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the correct breakdown: This problem provides either a grid or a number line representing some fraction over 100. The student is asked to determine the correct decomposition of the fraction into tenths and hundredths.Dfwdo100-1.png
 * 2) Fill in the blank to complete the breakdown: This problem provides a grid or number line along with a particular fraction that is partially broken into tenths and hundredths. The student is asked to fill in the missing blank with the correct value.Dfwdo100-2.png

Strategies
Knowledge of fraction simplification and an ability to visualize fractions are encouraged to ensure success on this exercise.
 * 1) The correct answer for Find the correct breakdown will always be the option that has a single digit over 10 plus a single digit over 100. Reading the answers aloud may increase efficiency.
 * 2) In the Fill in the blank to complete the breakdown, the answers to the two spots are the two digits in the numerator of the fraction over 100, in that order. This fact can be used to recognize the missing number and fill it in efficiently.

Real-life Applications

 * 1) The process of breaking down fractions into tenths and hundredths helps to understand the naming conventions for fractions and decimals.
 * 2) Understanding the connection between geometry and fractions can help to increase proficiency with fractions and rational expressions in other mathematics.