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Decimal & Fraction (in Hindi)
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This lesson explains about decimals and fraction . Different operations which can be done on a decimal fraction. And some question based on the lesson

Mayank Agnihotri
B.Tech (ECE), Machine enthusiast, Inspired by an old hindi saying " Gyan baatne se badhta ha"

U
name of sufi saint was bakhtiyar kaki..(not khilji)
aapka special clss aata h kya
1. Decimal & Fraction BY: MAYANK AGNIHOTR

2. FRACTION A fraction simply tells us how many parts of a whole quantity we have. nurnerator 4 5 -denominator DECIMAL A decimal is a fraction written in a special form. EX: Instead of writing 1/2 we can express the fraction as the decimal 0.5. MIXED FRACTION A mixed fraction is a whole number and proper fraction combined. Ex: 11 = 5, 2 -- 4 42 2 DECIMAL FRACTION Fractions in which denominators are powers of 10 are known as decimal fractions EX:-= 0.1 one tenth = 0.01 = one hundreth 10 100

3. Conversion of a decimal into Fraction 2.008-2008-251 1000 125 25 1 0.25 = 100 _-; Note Adding 0 to the extreme right of a decimal fraction does not change its value. Ex : 0.8 = 0.80 = 0.800 If numerator and denominator of a fraction has same no. of decimal places then we remove the decimal sign. Ex : 1.84 = 184 2.99 299 O Operations on Decimals Fraction Addition and Subtraction of Decimal Fraction 2.543 3.4672.543 +3.467 6.010 3.554-2.465= 3.554 2.465 1.089 Multiplication of Decimal Fraction by power of 10 . 5.9632 x 100 = 596.32 5.9632 x 10-2-0.059632

4. Multiplication of Decimal Fraction 0.2 x 0.02 = 2 x 2 x 10-3 = 0.004 ; 5.2 x 0.2 = 52 x 2 x 10-2-1.04 Dividing a Decimal Fraction by a counting number . 0.0204 17 204 17 10-4 = 12 10-4 0.0012 Dividing a Decimal Fraction by a Decimal fraction 0.066 100 0.066 0.00066 0.11 = 11 x 103-0.006 11X100 11 0 I Converting fraction to decimals 0.6 4.25 30.6 5/ 3 17 - 4.25 30 -30 0 - 16 10 20 20

5. Questions Ques 1. Evaluate 31.0040-17.2386 31.0040 - 17.2386 Sol 13.7654 Ans 44404444 10 100 1000 10000 4 Ques 2. Find the value of 4 Sol 44.44.04 0.444 0.0004 12.8844 Ans 6 Ques 3. How many 1o are there in 6 12 5 10 12 Sol so if we add 1 12 times we get 10 . there are 12 1 in