## Conversion Between Decimals, Fractions, Percentages

#### Aligned To Common Core Standard:

**Grade 5 Base Ten** - 5.NBT.A.3

How to convert values between decimals, fractions, and percentages - The three very important concepts that students have to completely understand are decimals, fractions, and percentages. We are talking about all these together is because we can use any of these to display the same value. A fraction can be converted into a decimal as well as a fraction. A decimal can be converted into fraction and a percentage. A percentage can be converted into a decimal as well as a fraction. Let's use 50% as an example here. We know that the "%" means "out of hundred." When we remove the "%" we can write 50% as 50/100. See this way we have converted the percentage in the form of a fraction. We further simplify the fraction and get 1/2. To convert this fraction into a decimal number we apply simple division and get 0.5. We have taken a percentage as an example. Now if we want to convert 1/2 into a decimal number and a percentage. We apply simple division and get 0.5 and when we multiply the decimal number by 100, we get 50%. Now, if we take the decimal number 0.5 and wish to convert it into a fraction and a percentage, we remove the decimal and write it as 5/10 and when we further simplify it, we get 1/2. We can multiply 0.5 with 100 to convert the decimal number into a fraction. These worksheets and lessons show students how to convert between these three major forms of value notation.

### Printable Worksheets And Lessons

- Box Method Step-by-Step Lesson- We give you a decimal and you make it jump through hoops to become a fraction and percentage.
- Guided Lesson -
We start you on every different format of a number and you convert
it to all other forms.

- Guided Lesson Explanation - It did take me a while to figure out how best to explain this one.
- Decimals to Fractions and Percentages 5 Pack - Start with a decimal and go in another direction with this one.
- Practice Worksheet - In retrospect, I should have used lines. A number of teachers have asked me to leave the lines off though.
- Matching Worksheet - These are direction-based conversions for a little twist.
- Decimals to Fractions Lesson and Practice - This is the hardest of the three skills covered here. I think it warranted its own lesson.
- Visualizing Shapes as Decimals and Fractions Worksheet - A nice way to introduce this or review it for that matter.

#### Homework Sheets

I like this format because you can quickly find any problems that students have with the material.

- Homework 1 - We will multiply the numerator and denominator by 100.
- Homework 2 - Convert a fraction to a percentage is to divide the numerator by the denominator. Then multiply the result by 100, and add the "%" sign.
- Homework 3 - To convert from percent to decimal: divide by 100, and remove the "%" sign.

#### Practice Worksheets

Similar to the homework, but a little more space to work with.

- Practice 1 - Write everything in the simplest form.
- Practice 2 - We can simplify this fraction further by finding a common factor.
- Practice 3 - To convert a fraction to a percentage, divide the numerator by the denominator.