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Fractions & Decimals
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PreAlgebra
Fractions & Decimals
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Fractions & Decimals Topics
Fractions & Decimals explanations, examples, practice problems. Ready? Let's do this.
Fractions
Fractions may look funky at first, but they’re actually really cool and useful once you get the hang of them.The great news is, you’re already a pro at fractions. You’ve been thinking...
Equivalent Fractions
As you can see from the number line, many fractions can have the same value. Different fractions with the same value are called equivalent fractions. Since and share a spot on the number line,...
Reducing Fractions
If both the numerator and denominator have a common factor (i.e., they can both be divided by the same number), you can reduce the fraction by that number. It's fastest to use the gre...
Adding & Subtracting Fractions
Adding and subtracting fractions can be timeconsuming because it often involves a few extra steps. This is a really important and commonlyused skill, though. So let's get to it.Here is ...
Converting Between Mixed Numbers & Improper Fractions
Sometimes you'll be asked to convert mixed numbers into improper fractions, and vice versa. Once you get the hang of it, you'll be doing it in your sleep. Let's start by looking at mixed...
Adding & Subtracting Mixed Numbers
Here we will go over two different methods to add or subtract mixed numbers. Find the way that is most natural for you – both will lead you to the right answer. Method #1: Change mixed numbe...
Multiplying Fractions & Mixed Numbers
Multiplication of fractions is pretty simple compared to addition and subtraction. And guess what, you don't have to find a common denominator. Just follow these four easy steps:Convert all mixed...
Dividing Fractions
SAVE IT, CHANGE IT, FLIP IT. That is all you need to remember when dividing fractions. Easy as 1, 2, 3. Seriously, it's almost as easy as multiplying; you just need to add one more step, mul...
Fractions Word Problems
Word problems are awesome because they help you visualize the math, and you can see examples that could come right out of your daily life.Scroll down to begin
Decimals
What Are They?Like fractions, decimals represent parts of a whole. In fact, all finite decimals (decimals that have an ending or repeat themselves) can be written as fractions. You probably...
Place Value & Naming Decimals
The first thing to understand about decimals is place value. Each digit in a number holds a specific place. Until now, we have mostly dealt with place values to the left of the...
Visualizing Decimals
Decimals can be a less intimidating way of writing fractions. The denominators for all decimals are based on powers of ten (ten, hundred, thousand, ten thousand, etc.). For example, five tenths c...
Adding & Subtracting Decimals
When you're learning to add and subtract decimals, graph paper comes in handy. Graph paper will help you keep decimals and place values in order. If you need some, you can print graph paper for fre...
Multiplying Decimals
Multiplying decimals is only slightly more complicated than adding and subtracting decimals. The good news is that you don't have to worry about lining up the decimals. In fact, you don't even ne...
Dividing Decimals
Okay let's be honest, long division with decimals can be very tedious. Also, beyond prealgebra you probably will rarely, if ever, need to do this without a calculator. Having said that, long divi...
Decimals Word Problems
In the real world, you will see decimals most often in situations involving money. Pretty much every price tag has a decimal. Let's take a look.
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