Have you ever completed a survey?
After the sixth grade social, the students were given a survey. The survey asked the students about their favorite events and whether or not they had a terrific time. Some of the students wished there had been more dancing, some wished there had been more games, and some wished they could have attended at all. For different reasons, 6A had 40 out of 48 students attend and 6B had 42 out of 44 students attend.
After going through the surveys, Wendy, the class secretary, has tallied the results. She is most interested in figuring out which cluster has more students who say that they had a terrific time at the social.
Here are the results.
In 6A,
In 6B,
Wendy thinks that 6A has more students who say that they had a terrific time. Is she correct?
To figure out whether or not Wendy is correct, it would help to learn how to convert fractions to decimals. Once you have learned these skills, you can come back to this problem and figure out if Wendy has accurately analyzed the situation.
Guidance
Previously we worked on converting decimals to fractions. Now we are going to work the other way around.
How do we convert a fraction to a decimal?
There are two ways to convert a fraction to a decimal.
The first way is to think in terms of place value. If we have a fraction that has ten as a denominator, we can think of that fraction as tenths. Now we can figure out how to write the decimal.
Our answer is .125.
The second way is to use division. We can take the numerator of a fraction and divide it by the denominator. The denominator is the divisor and the numerator is the dividend.
Our answer is .6.
Now it is time for you to try a few. Convert each fraction to a decimal.
Example A
Solution:
Example B
Solution:
Example C
Solution:
Now back to the survey!
If you look at the survey results for 6A and 6B you will see that they both have different denominators. Their denominators aren’t base ten denominators either.
We need to convert both fractions into decimals to be able to compare them. The easiest way to do this is to divide using a decimal point and zero placeholders.
6A has .9 or
6B has a repeating decimal of
Now we can compare the two decimals.
Wendy was correct. 6A does have more students who say that they had a terrific time!!
Vocabulary
 Decimal
 a part of a whole written using place value and a decimal point.
 Fraction
 a part of a whole written with a fraction bar dividing the numerator and the denominator.
 Equivalent
 means equal
Guided Practice
Here is one for you to try on your own.
Write the following fraction as a decimal.
Answer
To write this as a decimal, we must first convert it into a denominator of 100.
Now we can write it as a decimal.
This is our answer.
Interactive Practice
Video Review
Khan Academy Converting Fractions to Decimals
James Sousa Fractions to Decimals
Practice
Directions: Write the following fractions as decimals.

310 
23100 
9100 
810 
1821000 
25100 
610 
1251000 
110 
2100 
12 
14 
34 
36 
35