# FRACTION & DECIMALS

 On Basis Explanation Decimal Fractions A number with a denominator of power of 10 is a decimal fractions. 1/10= 1 tenth; 1/100= 0.1;38/100=0.38 Vulgar Fractions Conversion of 0.64(decimal number) into a Vulgar Fraction.First of all write the numeric digit 1 in the denominator of a number (like here 0.64) and add as many numeric zeros as the digit in the number after decimal point.After that removes the decimal point from the given number.At last step just reduce the fraction to its lowest terms. So, 0.64 = 64/100=16/25;25.025 = 25025/1000 = 1001/4 Operations Addition & Subtraction To perform the addition and subtraction of a decimal fraction could be done through placing them right under each other that the decimal points lie in one column. 3.424+3.28+.4036+6.2+.8+4 3. 424 3. 28 . 4036 6. 2 . 8 +4______ 18. 1076Multiplication of a Decimal Fraction To find the multiplication of decimal fraction , first of all you need to remove the decimal point from the given numbers and then perform the multiplication after that assign the decimal point as many places after the number as the sum of the number of the decimal places in the given number. Step 1. 0.06*0.3*0.40 Step 2. 6*3*40=720 Step 3. 0.00720 Multiplication of a decimal fraction by power of 10 A multiplication of a decimal fraction by a power of 10 can be perform through shifting the decimal point towards right as many places as is the power of 10. like 45.6288*100=45628.8, 0.00452*100=0.452 Division Comparison of Fractions To compare the set of fractions numbers,first of all you need to convert each fraction number or value into a equal decimal value and then it will be became easy for you to assign them ( the numbers or value) in a particular way( ascending or descending order). 3/5,4/7,8/9 and 9/11 Arranging in Ascending Order 3/5= 0.6, 4/7 = 0.571, 8/9 = 0.88, 9/11 = 0.818. Now, 0.88 > 0.818 > 0.6 > 0.571 8/9>9/11>3/5>4/7 Recurring Decimal Recurring Decimal A decimal number in which after a decimal point a number or set of number are repeated again and again are called recurring decimal numbers.It can be written in shorten form by placing a bar or line above the numbers which has repeated.Pure Recurring Decimal A decimal number in which all digits are repeated after a decimal point.Mixed Recurring Decimal A decimal number in which certain digits are repeated only.