## Monday, April 16, 2012

### Identifying Equivalent Representations of Fractions: Money

Fractions that refer to the same portion of a group of items or the same part of a whole are called equivalent fractions. (Read our April 11 blog post for more on the topic of equivalent fractions.)
So one-fourth can be notated as a decimal: .25

or as a fraction:

In Excel Math, students learn to recognize equivalent fractions using money. Continuing our example with coins, this is a quarter:

We know that four quarters equal one dollar and .25 = one quarter of a dollar. Another way to represent this is that if a dollar is divided into four equal parts, each part will be equal to 25¢.

Many of our everyday monetary units are more easily understood when they are represented as fractions. Our students may be more apt to understand the value of coins when we explain their relationship to the dollar. However, this step requires an understanding of fractions. When students recognize equivalent fractions, it is easier for them to understand how to count change. Take a look at this Fourth Grade Excel Math Worksheet. The first right-hand problem shows: Excel Math Fourth Grade Lesson 75 Student Worksheet
Twenty nickels equal one dollar. This equation is the equivalent of:
.05 = one twentieth of a dollar (or 5 cents of 100 cents).

Another way to say it is: Excel Math Fourth Grade Lesson 75 Student Worksheet Click here for a free math worksheet you can print out and use with your students. Excel Math Fourth Grade Lesson 75 Student Worksheet with Answers