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Here are a few recommended readings before getting started with this lesson.
In order to state what part of the pizza each person will eat, a certain type of numbers should be used.
In the definition of rational numbers, the word fraction
showed up but was not explained in detail. To clarify any doubts, its definition will now be presented.
Fractions are a specific type of ratio that compares a part to a whole. Fractions are rational numbers written in the form $ba ,$ where the numerator $a$ is the part and the denominator $b$ is the whole.
$a$ over $b.$Fractions where $a$ is less than $b$ are called proper fractions. Fractions where $a$ is greater than or equal to $b$ are called improper fractions.
Split into factors
Cross out common factors
Cancel out common factors
Consider a bar that is split into different parts. Find the fraction that describes the relationship between the shaded parts and the bar as a whole. Any shaded parts on the right-hand side indicate that the fraction is an improper fraction. Do not simplify the fractions.
When a fraction has a large numerator and denominator, it can be hard to estimate its value. Simplifying such a fraction and finding an equivalent fraction with a smaller numerator and denominator can be helpful.
After having a lot of fun with her friends on Saturday, Jordan woke up rested and energized the next day and decided to do her math homework. When she finished, she texted her answers to her friend Emily and asked if she got the same results.
Jordan was worried that she made a mistake. Suddenly, she realized that even though their fractions looked different, they actually had the same values. This means that they both solved the exercise correctly! Pair the equivalent fractions from Jordan's and Emily's results.Find the greatest common factor (GCF) of the numerator and denominator of a fraction, then use it simplify the fraction.
Notice that Emily's fractions are written in their simplest form, but Jordan's fractions are not simplified. Therefore, to find the equivalent fractions, each of Jordan's fractions will be analyzed and simplified, one at a time.
Consider the given fraction. Can it be simplified? If yes, write the given fraction in its simplest form. If the fraction is already simplified, write it as it is.
On top of the topics mentioned in this lesson, there are many other real-life applications of fractions. Here are some of them.