Hello frndz,
Today we will learn about Fractions.
Any number in the form of a/b is a fractional number, where a is numerator and b is denominator.
Remember one thing, denominator can not be 0.
Two fractions are said to be equivalent if they represents the same number in their reduced form.
For eg. 8/36 and 14/63
To convert these in reduced form, divide each number by their HCF (Highest Common Factor). Let start with 8/36. HCF of 8/36 is 4 (8 = 2*2*2 and 36 = 2*2*3*3 SO in these number, 2*2 is common so HCF is 2*2 = 4).
Divide 8/36 by 4 (both numerator and denominator separably) So result is 2/9.
Same happen with 14/63 and result is 2/9.
Both represent the same number 2/9 so both are equivalent.
:- Addition and Subtraction: To add or subtract two fractional number, take the LCM of denominator. and Add or subtract numerator.
For eg . 3/5 + 4/5
Denominators are 5 and 5 so LCM is 5.
So (3+4)/5 = 7/5
Again, 3/5 - 4/7
Denominators are 5 and 7 so LCM is 35. Now, 5 is 7 multiple of 35 and 7 is 5 multiple of 35.
So (3*7 - 4*5)/35 = 1/35
:- Multiplication and division of fractions:
1. To multiply two fractions, simply multiply both numerators and denominators.
For eg. 2/3 * 4/7
(2*4)/(3*7) = 8/21
2. To divide two fractions, find the reciprocal (a/b becomes b/a) of second fraction and multiply it with first one.
For eg. (2/3)/(4/7)
2/3 * 7/4 = 14/12
reduced form = 7/6
:- Mixed fractions: A number that consists of a whole number and a fraction is Mixed fraction.
For eg. 7(2/3)
To convert Mixed fraction into simple fraction, First find numerator by Multiply whole number with denominator and add it with numerator.
then find denominator that will be same.
For eg. 7(2/3) = (7*3 + 2)/3 = 23/3
Ok frndz, I hope you enjoyed this class. For any query, please post me a comment.
Next day, we will learn about Decimals.
Byee....
Er. Ankur Garg
garg.ankur6@gmail.com
Today we will learn about Fractions.
Any number in the form of a/b is a fractional number, where a is numerator and b is denominator.
Remember one thing, denominator can not be 0.
Two fractions are said to be equivalent if they represents the same number in their reduced form.
For eg. 8/36 and 14/63
To convert these in reduced form, divide each number by their HCF (Highest Common Factor). Let start with 8/36. HCF of 8/36 is 4 (8 = 2*2*2 and 36 = 2*2*3*3 SO in these number, 2*2 is common so HCF is 2*2 = 4).
Divide 8/36 by 4 (both numerator and denominator separably) So result is 2/9.
Same happen with 14/63 and result is 2/9.
Both represent the same number 2/9 so both are equivalent.
:- Addition and Subtraction: To add or subtract two fractional number, take the LCM of denominator. and Add or subtract numerator.
For eg . 3/5 + 4/5
Denominators are 5 and 5 so LCM is 5.
So (3+4)/5 = 7/5
Again, 3/5 - 4/7
Denominators are 5 and 7 so LCM is 35. Now, 5 is 7 multiple of 35 and 7 is 5 multiple of 35.
So (3*7 - 4*5)/35 = 1/35
:- Multiplication and division of fractions:
1. To multiply two fractions, simply multiply both numerators and denominators.
For eg. 2/3 * 4/7
(2*4)/(3*7) = 8/21
2. To divide two fractions, find the reciprocal (a/b becomes b/a) of second fraction and multiply it with first one.
For eg. (2/3)/(4/7)
2/3 * 7/4 = 14/12
reduced form = 7/6
:- Mixed fractions: A number that consists of a whole number and a fraction is Mixed fraction.
For eg. 7(2/3)
To convert Mixed fraction into simple fraction, First find numerator by Multiply whole number with denominator and add it with numerator.
then find denominator that will be same.
For eg. 7(2/3) = (7*3 + 2)/3 = 23/3
Ok frndz, I hope you enjoyed this class. For any query, please post me a comment.
Next day, we will learn about Decimals.
Byee....
Er. Ankur Garg
garg.ankur6@gmail.com
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