How to Subtract Whole Numbers from Fractions How to Subtract Whole Numbers from Fractions 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 Know More About :- Comparing Whole Numbers
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the 1 that gives the 2 and this answer is multiplied with the 2 and gives 4 so 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).Whole numbers are the numbers which start from 0, 1, 2, and goes up to infinite, whereas when we talk about mixed fraction, it means the number which is the combination of whole number and the fraction. Mixed fraction can be written as improper fraction first and then the calculations are done. Subtracting Mixed Numbers from Whole Numbers is done by following method: We proceed by first converting the mixed fraction into improper fraction. We know that a whole number has a denominator 1, so we take the l.c.m of 1 and the number which is the denominator of the fraction. In next step, we have to make the denominator same for both the numbers. By this method, the whole number also changes into a fraction, which is always improper fraction. Once we observe the denominators of both the fractions are same, and then we can easily calculate the given problem. Finally we check if the resultant fraction is proper or improper. Read More About :- Associate Property of Multiplication
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