Subtracting Fractions with Whole Numbers and Different Denominators Subtracting Fractions with Whole Numbers and Different Denominators Subtracting Fractions with Whole Numbers and Different Denominators is used very much in day today life and it is very easy to understand the subtraction of fractions with whole numbers and different denominators. When we talk about the subtraction of fractions and whole numbers then in this type of problem solving we have to follow some steps that are as defined: Rule (I): when there is an expression in which whole number is subtracted from the fraction then first of all write the whole expression in the fraction format means change the whole number into the fraction it will describe by an example: Example: if an expression is 5 / 2 – 2 then it will written as 5 / 2 – 2 / 1 (since, 2 = 2 / 1) Or 5 / 2 – 2 / 1 = ? Rule (II): After it calculate the LCM of the denominators of the fractions in the given expression means for making the denominators equal of each fraction if take the above example then LCM of 2 and 1 is 2. Rule (III) : After calculating the LCM divide it by each denominator and then multiply the answer with numerator of each fraction respectively as understand by the example LCM is 2 then divide 2 by 2 that is the denominator of fraction 5 / 2 and give the answer 1 that is multiplied with 5 and give the answer 5 and 2 also divide by the 1 that gives the 2 and this answer is multiplied with the 2 and gives 4 so Know More About :- Multiplication of Rational Numbers
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It will be written as 5 / 2 – 4 / 2 that shows the fractions have same denominator and it will also be written as (5 – 4) / 2. Rule (IV): Solve the expression as define by the operators as in above example it solved as subtract the 4 form 5 and denominator will remain same as (5 – 4) / 2 = 1 / 2 (answer). When we talk about subtraction of the fractions with different denominator then it will also be solved as using the above rules we can understand it by taking an example of fractions with different denominators as an expression 1 / 2 – 1 / 4 in this given expression two fractions 1 / 2 and 1 / 4 have different denominator 2 and 4 respectively then it is solved as: Rule (I): First write them in form of fractions that is already in that format and calculate the LCM of denominators of fraction that means LCM of 2 and 4 is 4. Rule (II): after calculate the LCM divide it by each denominator and multiplied the answer with numerator of each fraction as 4 is divided by 2 that gives 2 and then 2 is multiplied with 1 that gives 2 and same with other fraction means LCM 4 is divided by the denominator 4 that gives the answer 1 and then it is multiplied with 1 that gives 1 then the expression will written as : 2 / 4 – 1 / 4 =? or (2 – 1) / 4 = ? Rule (III): At last calculate the answer according to the operators given in the expression as (2 – 1) / 4 = 1 / 4 (answer).
Read More About :- Divide Rational Numbers
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