Fractions
Fractions may look funky at first, but they're actually really useful once we get the hang of them. The great news is, we're already pros at fractions. We've been thinking about fractions since...
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
It would be shocking to find we have a common ancestor with a friend—even more so if it's an enemy. Numerators and denominators know how we feel. If both the numerator and denominator of a fra...
Adding & Subtracting Fractions
Adding and subtracting fractions can be time-consuming because it often involves a few extra steps. This is a really important and commonly-used skill, though. So let's get to it.Here is .T...
Converting Between Mixed Numbers & Improper Fractions
Sometimes we'll be asked to convert mixed numbers into improper fractions, and vice versa. Once we get the hang of it, we'll be doing it in our sleep.
Let's start by looking at mixed numbers a...
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? We don't need to find a common denominator. We do need to make sure each number is a fraction, th...
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,...
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.
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 alread...
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 decim...
Visualizing Decimals
Decimals can be a less intimidating way of writing fractions. The denominators for all decimals are based on powers of ten (100, 100, 1000, 10,000, etc.). For example, five tenths can be written...
Adding & Subtracting Decimals
Getting to the next level in our favorite video game was cool, but also kind of a letdown. The next level is almost exactly the same as the previous one, but with a few more challenges thrown in. A...
Multiplying Decimals
Multiplying decimals is only slightly more complicated than adding and subtracting decimals. The good news is that we don't need to worry about lining up the decimal points. In fact, we don't eve...
Dividing Decimals
Okay let's be honest, long division with decimals can be very tedious. Also, beyond pre-algebra you probably will rarely, if ever, need to do this without a calculator. Having said that, long d...
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 at some examples here.