Like and Unlike Fractions
Like and unlike fractions are the two groups of fractions:
(i) 1/5, 3/5, 2/5, 4/5, 6/5
(ii) 3/4, 5/6, 1/3, 4/7, 9/9
In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal.
The fractions with the same denominators are called like fractions.
In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.
The fractions with different denominators are called unlike fractions.
Examples of like fractions are:
(a) (2/9, 3/9, 5/9, 9/9);
(b) (3/10, 7/10, 1/10, 9/10);
(c) (1/7, 2/7, 4/7, 5/7, 7/7)
Examples unlike fractions are:
(a) (1/2, 1/4, 2/3, 5/6)
(b) (3/8, 2/3, 3/5, 2/7)
(c) (1/9, 2/7, 3/4, 2/5).
Like Fractions:
Observe the
following figures.
The
fraction \(\frac{1}{8}\), \(\frac{2}{8}\), \(\frac{3}{8}\) have the same
denominator. Such fractions are called like fractions.
Unlike Fractions:
In figure (i) one part is shaded out of 3 parts, the fraction represented is \(\frac{1}{3}\).
In figure (ii) has two parts shaded out of 3 parts, the fraction represented is \(\frac{2}{5}\).
In figure (iii) we have three parts shaded out of 7 parts, the fraction represented is \(\frac{3}{7}\).
The fraction \(\frac{1}{3}\), \(\frac{2}{5}\), \(\frac{3}{7}\) have different denominators. Such fractions are called unlike fractions.
Related Concept
● Fraction
of a Whole Numbers
● Representation
of a Fraction
● Equivalent
Fractions
● Properties
of Equivalent Fractions
● Like and
Unlike Fractions
● Comparison
of Like Fractions
● Comparison
of Fractions having the same Numerator
● Types of
Fractions
● Changing Fractions
● Conversion
of Fractions into Fractions having Same Denominator
● Conversion
of a Fraction into its Smallest and Simplest Form
● Addition
of Fractions having the Same Denominator
● Subtraction
of Fractions having the Same Denominator
● Addition
and Subtraction of Fractions on the Fraction Number Line
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Practice the questions given in the worksheet on word problems on multiplication of mixed fractions. We know to solve the problems on multiplying mixed fractions first we need to convert them
We will discuss here how to solve the word problems on division of mixed fractions or division of mixed numbers. Let us consider some of the examples. 1. The product of two numbers is 18.
We will discuss here how to solve the word problems on multiplication of mixed fractions or multiplication of mixed numbers. Let us consider some of the examples. 1. Aaron had 324 toys. He gave 1/3
We will discuss here about dividing fractions by a whole number, by a fractional number or by another mixed fractional number. First let us recall how to find reciprocal of a fraction
Here we will learn Reciprocal of a fraction. What is 1/4 of 4? We know that 1/4 of 4 means 1/4 × 4, let us use the rule of repeated addition to find 1/4× 4. We can say that \(\frac{1}{4}\) is the reciprocal of 4 or 4 is the reciprocal or multiplicative inverse of 1/4
To multiply two or more fractions, we multiply the numerators of given fractions to find the new numerator of the product and multiply the denominators to get the denominator of the product. To multiply a fraction by a whole number, we multiply the numerator of the fraction
To subtract unlike fractions, we first convert them into like fractions. In order to make a common denominator, we find LCM of all the different denominators of given fractions and then make them equivalent fractions with a common denominators.
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
The associative and commutative properties of natural numbers hold good in the case of fractions also.
To add unlike fractions, we first convert them into like fractions. In order to make a common denominator we find the LCM of all different denominators of the given fractions and then make them equivalent fractions with a common denominator.
To add two or more like fractions we simplify add their numerators. The denominator remains same.
We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First we find the L.C.M. of the denominators of the fractions to make the
We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we find the L.C.M. of the denominators of the fractions to make the denominators
In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a number to convert them to like fractions. Let us consider some of the
4th Grade Math Activities
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