Decimal to Fraction Calculator Decimal to Fraction Calculator is an online tool to convert a decimal number into equivalent fraction. It is a tool which makes calculations easy and fun. If a decimal number is given then it can easily convert it into equivalent fraction. Step by Step Calculations Step 1 : Find out number of digits right to decimal point. Step 2 : Suppose if there are "x" digits then multiply and divide it by 1 with "x" zeros. Step 3 : Simplify the obtained fraction. Example Problems Convert the decimal 2.13 into fraction. Step 1 : Here given number is 2.13 Know More About Math Tutor Free Online
So 2.13 have 2 decimal places. Step 2 : Now multiply and divide the decimal 2.13 by 100 Step 3 : After simplifying 2.13×100100 it will be equal to 213100 Answer : 213100 Convert the decimal 0.4 into fraction. Step 1 : Here given number is 0.4 So here 0.4 have 1 decimal places. Step 2 : Now multiply and divide the decimal 0.4 by 10 Step 3 : After simplifying 0.4×1010 is equal to 410 Divide numerator and denominator by 2 so it will be equal to 4÷210÷2 = 25 Answer : 25
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Scientific Notation Calculator Scientific notation refers power-of-10 notation. This method is use to write very big and small numbers. Scientific Notation Calculator is an online tool to convert given number into scientific notation. It is a tool which makes calculations easy and fun. If any number is given then it can easily convert it into scientific notation. Below see the list of all the calculators comes under scientific notation.Go through the list and do all the operations easily. xi - the random variable where i takes values from 1 to N ; Step 3 : Îź- the mean of the data set; Then write the final answer for Ďƒ .
Example Problems Calculate the standard deviation for 2,3,4,5,6 ; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 5; Mean = μ =2+3+4+5+65 ; μ = 205 ; μ = 4; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 2,3,4,5,6 ; (2-4)2 = 4; (3-4)2 = 1; (4-4)2 = 0; (5-4)2 = 1; (6-4)2 = 4; -----------= 10 ; ------------Σ ( xi - μ )2 = 10; Step 3 : Variance =Σ ( xi - μ )2/N
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Variance = 10/5 ; Variance = 2; Standard deviation = σ = √[(1/N)Σi(xi-μ)2] ; σ = √ [(1/5)2]; Answer : 1.414 Calculate the standard deviation for 10,20,30,40; Step 1 : Use formula for standard deviation; σ = √[(1/N)Σi(xi-μ)2] ; N= 4; Mean = μ = 10+20+30+405 ; μ = 100/4 ; μ = 25; Step 2 : Next calculate ( xi - μ )2 ; xi = the random variable ,i.e. 10,20,30,40 ; (10-25)2 = 225 ; (20-25)2 = 25; (30-25)2 = 25; (40-25)2 = 225; ---------------= 500 ; ---------------Σ ( xi - μ )2 = 500; Step 3 : Variance = Σ ( xi - μ )2/N Variance = 500/4; Variance = 125 ; Standard deviation = σ = √[(1/N)Σi(xi-μ)^2] ; σ = √ [(1/4)125]; Answer : 11.180
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