This post is by S.V. karade
What Is a Fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters
A fraction is a number that represents part of a whole.
It is written using two numbers with a line between them.
For example, the following picture represents (which can also be written as 4/6):
A
rectangle with 4/6 shaded
The Parts of a Fraction
Each fraction has two numbers:
The number on the top is the numerator. It counts (or “numerates”) how many pieces are chosen. For example, in 4/6, the numerator is 4.
The number on the bottom is the denominator. It tells us how many equal parts the whole item is divided into. For example, in 4/6, the denominator is 6.
How to Read a Fraction
We read the fraction 4/6 as “four sixths”. This is because each of the small squares is a “sixth” of the whole, and there are four of them.
The Importance of Equal Parts
It is important to divide the whole figure into equal parts before you write the fraction. For example, in the following figure, the shaded area is not 1/3 because the three parts have different sizes:
An
square divided unequally, with 1/4 shaded
After
dividing the whole into four equal parts, we can see that the shaded area
actually represents 1/4.
An square divided equally, with 1/4 shaded
Types of Fractions
Proper fraction
It is possible for a fraction to have a numerator that’s larger than the denominator. This just means that it represents more than one whole.
If the numerator of the fraction is less than the denominator, then it is a proper fraction.
Examples: 2/7, 3/8, 5/7
Improper fraction
If
the numerator of the fraction is greater than the denominator, then it is an improper fraction.
Examples: 5/4,7/4,9/7
Mixed fraction
A fraction represented with its quotient and a remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction
Mixed Equivalent Fractions
How can we find mixed equivalent fractions? Let us find the answer to this question here.
Two fractions are said to be equivalent if their values are equal after simplification. Suppose ½ and 2/4 are two equivalent fractions since 2/4 = ½.
Now when two mixed fractions are equal to each other then they are equivalent in nature. Hence, if we are converting any two equivalent fractions into mixed fractions then the quotient left, when we divide numerator by denominator should be same.
For example, 5/2 and 10/4 are two equivalent fractions.
5/2: when we divide 5 by 2 we get quotient equal to 2 and the remainder equal to 1. So 5/2 could be written in the form of a mixed fraction as 21/2.
Similarly, the fraction 10/4 when we divide 10 by 4 we get quotient equal to 2 and remainder equal to 2. Therefore, 10/4 = 22/4.
Hence, for both mixed fractions 21/2 and 22/4, the quotient value equal to 2.
0 Comments