Types of Fractions Solved Questions
Question 1: Add 2/5 and 3/5.
Solution:
Both fractions have the same denominator (5)
∴ Add their numerators together
= 2/5 + 3/5
= (2 + 3)/5
= 5/5
= 1
Question 2: Subtract 1/3 from 2/3.
Solution:
Both fractions have the same denominator (3)
∴ Subtract their numerators
= 2/3 – 1/3
= (2 – 1)/3
= 1/3
Question 3: Find an equivalent fraction for 4/7.
Solution:
Multiply both the numerator and denominator by the same number 2
= 4×2/7×2
= 8/14
Question 4: Convert [Tex]2\frac{1}{4}[/Tex] into an improper fraction.
Solution:
Multiply the whole number (2) by the denominator (4) and then add the numerator (1)
∴ 2(1/4) as an improper fraction is (2 × 4 + 1)/4 = 9/4
Question 5: Add 1/6 and 1/8.
Solution:
Find least common multiple (LCM) of 6 and 8, which is 24.
Adjust both fractions to have a common denominator:
1/6 becomes 4/24 on multiplying both denominator and numerator by 4
1/8 becomes 3/24 on multiplying both denominator and numerator by 3
Add,
= 4/24 + 3/24
= 7/24
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
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