Improper Fraction and Mixed Fraction Conversion
Since, in improper fraction numerator is greater than denominator, hence we can convert it into a combination of a whole number and proper fraction. And the mixed fraction so obtained can also be converted into improper fraction.
Improper Fraction to Mixed Fraction
By following solving the improper fraction using division method it can be transformed into a mixed fraction. Divide the numerator by denominator, then the remainder comes from this division will become the numerator, the number of times denominator divides the numerator becomes the whole number and the denominator stays unchanged.
Let’s take an example of improper fraction 7/3, to convert this fraction into mixed follow the below steps:
Step 1: Divide the numerator 7 by the denominator 3
Step 2: This division will give 2 as the quotient and 1 as the remainder.
Step 3: express the fraction into mixed fraction as [Tex]2\frac{1}{3}[/Tex].
Improper fraction into Mixed fraction
Mixed Fraction to Improper Fraction
A combination of a whole number and a proper fraction is called as mixed fraction. To change a mixed fraction into an improper fraction, it is required to multiply the whole number part by the denominator and then add the numerator. The outcome becomes the new numerator, while the denominator stays unchanged.
For example, Let’s convert the mixed fraction [Tex]2\frac{1}{3}[/Tex] to an improper fraction.
Step 1: Multiply the whole number 2 by the denominator 3 , which will become 6.
Step 2: Add the numerator 1 to the result obtained from step 1 ; 1+6=7
Step 3: The result of step 2 is the new numerator and the denominator stays unchanged. Therefore the improper fractions is 7/3
Mixed fraction into Improper fraction.
Types of Fractions
A fraction is a number in the form of a/b where a and b are whole numbers and b ≠ 0. There are different types of fractions in mathematics based on the numerators and denominators of any given fraction. There are primarily three types of fractions namely Proper Fractions, Improper Fractions, and Mixed Fractions. However, there are other types of fractions as well such as like and unlike fractions, unit fractions, and equivalent fractions. Hence in total, there are 7 kinds of fractions namely, Proper Fractions, Improper Fractions, Mixed Fractions, Like Fractions, Unlike Fraction, Unit Fractions, and Equivalent Fractions.
In this article, we will learn what are the different types of fractions in maths, examples of types of Fractions, and solve problems based on them.
Table of Content
- What are Types of Fractions in Maths?
- Proper Fraction
- Improper Fraction
- Mixed Fraction
- Like Fractions
- Unlike Fractions
- Equivalent Fractions
- Unit Fractions
- Types of Fractions Chart
- Improper Fraction and Mixed Fraction Conversion