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Answers
- Examples of Proper Fractions: 2/3, 2/4, 2/5, 1/2. 4/7, 7/9, etc. ( ...
- Examples of Improper Fractions: 3/2, 4/2, 5/2, 7/4, 9/7, 8/5, etc. ( Numerator > Denominator)
- Examples of Mixed Fractions: etc. ( Combination of whole numbers, proper and improper fractions)
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Answer:
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
For example, 5/10 is a fraction.
Here, 5 is a numerator
10 is a denominator
Types of Fractions
There are four different types of fractions. They are:
Unit Fraction – In a fraction, the numerator with 1 is called a unit fraction. For example, ½, ¼
Proper Fraction – If a numerator value is less than the denominator value, it is called a proper fraction. Example: 7/9, 8/10
Improper Fraction – If a numerator value is greater than the denominator value, then it is called an improper fraction. Example: 6/5, 11/10
Mixed Fraction – If a fraction consists of a whole number with a proper fraction, it is called a mixed fraction. Example 5 ¾, 10 ½
Apart from these four important types of fractions, the other two types of fractions which are used in mathematical problems are like and unlike fractions.
Like Fractions – The fractions with the same denominator are called like fractions.
Example: 4/2, 7/2, 9/2
Here, the denominators of all the fractions are 2. Hence, they are called like fractions.
Unlike Fractions – The fractions with different denominators are called, unlike fractions.
Example: 5/2, 4/6, 9/4
Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.
Fraction Properties
Similar to real numbers and whole numbers, a fractional number also holds some of the important properties. They are:
Commutative and associative properties hold true for fractional addition and multiplication
The identity element of fractional addition is 0, and fractional multiplication is 1
The multiplicative inverse of a/b is b/a, where a and b should be non zero elements
Fractional numbers obey the distributive property of multiplication over addition
Fraction Example
Question:
Determine the type of fractions given below:
(a) 5 ⅓
(b) 4/6, 8/6, 9/6
Solution:
(a) 5 ⅓ – The given fraction is a mixed fraction. Because it is a combination of both whole number and a proper fraction.
(b) 4/6, 8/6, 9/6 – The given fractions are like fractions. Because the denominators of all the fractions are the same, i.e. 6.
this all was for explanation
its for project below
Examples of Proper Fractions: 2/3, 2/4, 2/5, 1/2. 4/7, 7/9, etc. ( ...
Examples of Improper Fractions: 3/2, 4/2, 5/2, 7/4, 9/7, 8/5, etc. ( Numerator > Denominator)
Examples of Mixed Fractions: etc. ( Combination of whole numbers, proper and improper fractions)
hope it helped