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Thursday, September 27, 2012

Converting between Fractions and Decimals

Today's Objective:  After learning how to convert, students will be able to express fractions as decimals and decimals as fractions.

Today we used three techniques to help us convert between fractions and decimals.  One was easy, one was hard(ish) and the other was in between.

First, we realized that both fractions and decimals represent parts of a whole.

The first thing we did was the medium difficulty technique of changing a fraction into a decimal.  We tried to make some simple fractions into equivalent fractions over either 10 or 100 so that we could easily convert them to decimals.

Next, we started working on the more complicated technique of dividing the fractions.  To do this, we divided the numerator by the denominator, adding a decimal and annexing zeros to solve the problem.

We found that the answers sometimes stopped as a simple decimal (terminating) while others just kept on going (repeating).

The last, and easiest technique we used for converting was for making decimals into fractions.

We see it, say it (properly), write it (as a fraction), and simplify it!


Tonight's homework is to complete both sides of the converting worksheet.  I did a few problems with you in class, also shown below, so the work shouldn't take too long!

Thanks!  Best of luck on tonight's homework!

-Miss K  :)

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