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Fractions

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How to Increase the Terms of a Fraction

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have increased terms compared to the other. You may need to increase the terms of [more…]

How to Reduce a Fraction to Its Lowest Terms

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have reduced terms compared to the other. You may need to reduce the terms of fractions [more…]

How to Convert a Mixed Number to an Improper Fraction

Although mixed numbers are great for everyday use, it is often easier to work with improper fractions when you want to solve math problems. To convert a mixed number to an improper fraction, follow these [more…]

How to Cross-Multiply Two Fractions

Cross-multiplication is a handy math skill to know. You can use it for a few different purposes. For example, you can compare fractions and find out which is greater. [more…]

How to Divide Fractions by Finding the Reciprocal

Dividing fractions is just as easy as multiplying them. In fact, when you divide fractions, you really turn the problem into multiplication by using a reciprocal. [more…]

How to Find the Sum of Fractions with the Same Denominator

When you add two fractions that have the same denominator (bottom number), you simply add the numerators (top numbers) together and leave the denominator unchanged. [more…]

How to Add Fractions with Different Denominators

When the fractions that you want to add have different denominators, there are a few different ways you can do it. Here, you’ll learn the easy way, then a quick trick that works in a few special cases, [more…]

How to Convert an Improper Fraction to a Mixed Number

Although improper fractions are great for solving math problems, the results may be easier for people to understand if you first convert them to mixed numbers. To convert an improper fraction to a mixed [more…]

How to Subtract Fractions with the Same Denominator

Subtracting fractions with the same denominator (bottom number) is easy. When the denominators are the same, you can just think of the fractions as pieces of cake. [more…]

How to Subtract Fractions with Different Denominators

When you want to subtract fractions with different denominators, you have a choice of methods: the easy way, the quick trick, and the traditional way.

The easy way always works, and you should use this [more…]

How to Add Mixed Numbers

Whether mixed numbers have the same denominators or different denominators, adding them is a lot like adding whole numbers: you stack them up one on top of the other, draw a line, and add. For this reason [more…]

How to Recognize Types of Fractions

To work with fractions, you need to know the different forms they take — reciprocal fractions, mixed numbers, proper and improper fractions — as well as the parts they’re made up of — denominators, numerators [more…]

How to Subtract Mixed Numbers

Whether mixed numbers have the same denominators or different denominators, subtracting them is a lot like subtracting whole numbers: you stack them up one on top of the other, draw a line, and subtract [more…]

How to Multiply Two Fractions and Reduce the Answer

To multiply two fractions, you need to have a basic knowledge of the multiplication table and the ability to reduce the answer to its lowest terms. [more…]

Common Fraction and Decimal Equivalents in Business Math

Fractions and decimals form the basis of much of the math in business. The following table shows you some of the more commonly used fractions and their decimal equivalents. An ellipsis [more…]

Basic Math Tips: Fractions

Fractions are a common way of describing parts of a whole. They're commonly used for English weights and measures, especially for small measurements in cooking and carpentry. If you want to be proficient [more…]

How to Slice a Cake into Fractions

Here's a simple fact: When you cut a cake into two equal pieces, each piece is half of the cake. As a fraction, you write that as 1/2. In the figure, the shaded piece is half of the cake. [more…]

Fraction Vocabulary You Should Know

Fractions have their own special vocabulary and a few important properties that are worth knowing right from the start. When you know them, you find working with fractions a lot easier. [more…]

Ratios and Proportions

A ratio is a mathematical comparison of two numbers, based on division. For example, suppose you bring 2 scarves and 3 caps with you on a ski vacation. Here are a few ways to express the ratio of scarves [more…]

In Fractions, One Is the Easiest Number

With fractions, the relationship between the numbers, not the actual numbers themselves, is most important. Understanding how to multiply and divide fractions can give you a deeper understanding of why [more…]

Multiplying and Dividing Mixed Numbers

There's no direct method for multiplying and dividing mixed numbers. The only way is to convert the mixed numbers to improper fractions and multiply or divide as usual. Here's how to multiply or divide [more…]

The Basics of Fractions

Fractions represent parts of a whole — that is, quantities that fall between the whole numbers. Probably the most commonly used fraction is 1/2, which is [more…]

How to Convert between Mixed Numbers and Improper Fractions

When the numerator (top number) is greater than the denominator (bottom number), that fraction is an improper fraction. An alternative form for an improper fraction is as a [more…]

How to Increase and Reduce the Terms of Fractions

When you cut a cake into two pieces and take one piece, you have 1/2 of the cake. And when you cut it into four pieces and take two, you have 2/4 of the cake. Finally, when you cut it into six pieces and [more…]

How to Work with Ratios and Proportions

A ratio is a mathematical comparison of two numbers, based on division. For example, suppose you bring 3 shirts and 5 ties with you on a business trip. Here are a few ways to express the ratio of shirts [more…]

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