Subtracting Improper Fractions Subtracting Improper Fractions Improper fractions and the whole numbers are the sub-types of number system. Both number systems can perform the various types of activity to solve the problem that are related to mathematics. So, before performing any operation we need to understand the concept of improper fractions and whole numbers. Improper fractions numbers are the type of fractional numbers in number system. In the specific definition improper number can be define as a fraction that has a numerator value larger than or equal to the denominator value. As we know that fractional numbers are those numbers that can represent the two integer’s values in the form of numerator and denominator numbers. As a name specify that improper fractions means a fraction that is not in proper format. Example: 5 / 4, 10 / 9, 17 / 17 or etc... In the above example we can see that the value of numerator is greater then the value of denominator. This makes it improper fractions. In the fraction there are types of fractions are define:
Know More About Operations With Rational Numbers
Tutorcircle.com
Page No. : 1/4
a) Proper fractions: 5 / 6 in this example we can see that the 5 is a numerator value which is lesser then the denominator value 6. So this is proper fraction. b) Improper fractions: 4 / 3 in this example we can see that the value of 4 is a numerator value which is greater then the value of denominator that is 3. So this can be known as Improper fractions. c) Mixed fractions: in this type of fractions the whole values are added with the fraction numbers like 2 ½. Now we define the whole numbers. Whole numbers are the most basic type of numbers system. In the type of number system we generally include the number that has the range from 0, 1, 2, 3, 4……and so on. These are the numbers that are used to form the other types of numbers in the number system. As like whole number we can also perform the various operations between the whole numbers and improper fractions. In this process We show the various step to perform the Subtracting Improper Fractions and Whole Numbers. In the case of subtracting the improper fractions with the whole numbers, we need to follow the some steps: a)
First convert the whole numbers into the fractions.
b)
After determining the fraction numbers, calculate the LCM.
c)
Then equalize the denominators of both numbers.
d)
At last perform the subtraction between the given fractional numbers.
e)
In the end there is a any need then simplify the obtained fraction.
Read More About Operations On Rational Numbers
Tutorcircle.com
Page No. : 2/4
Now we can show you the process of subtracting the improper fraction with the whole numbers by the below given example: Example: Perform the subtraction of given numbers 5 / 4 and 3? Solution: In the above given question we can see that there is a one fraction value that is improper 5 / 4 and one number is a whole number. Now we have to perform the subtraction between these given numbers: For subtraction we need to convert the given whole numbers into fractions that is 3 / 1. Now we arrange in standard form 5/4–3/1 Now we calculate the LCM for both fraction values that is 4. Now we perform the subtraction 5 – 12 / 4 =
-7 / 4
In the above – 7 / 4 is our final answer.
Tutorcircle.com
Page No. : 2/3 Page No. : 3/4
Thank You
TutorCircle.com