Integers:
Positive numbers, zero and negative numbers together form an Integer. A fraction is a part or parts of a whole. Decimal fraction is the special fraction whose denominators are 10, 100, 1000 etc. These fractions are called decimal fractions. Let us see about Integers, Fractions and decimals in this article.The numbers 0, 1, −1, 2, −2, … are called integers of which 1, 2, 3, … are called positive integers and −1, −2, −3,… are called negative integers. The collections of all integers are denoted by the letter Z. Thus Z = {…, −3, −2, −1, 0, 1, 2, 3…}.Let us now learn about the Types of Interger Factors:If two numbers are in a / b form, where the two numbers are integer then it said to be a integers fraction,Here, a (numerator)/ b (denominator) à both ‘a’ and ‘b’ not equal to zero.Types of Integer fraction:1. Proper Fraction.2. Improper Fraction.3. Mixed Fraction.Proper Fraction:In the proper fraction is the fraction in which the numerator (the top number) is less than the denominator (the bottom number).Example:1/2, 2/3, 5/7.
Improper Fraction:An improper fraction is the numerator (the top number) is greater than or equal to the denominator (the bottom number).Example:4/3, 5/2, 7/5.Mixed Fraction:Mixed Fraction is the combination of whole number and proper fraction.लेट usIn mixed fraction addition we do the following steps,1. First convert mixed fraction into the proper fraction.[Multiply the denominator (Bottom of the number) of the fraction by the whole number and then add the numerator (top of the number) keep the answer over the original denominator.]2. Add the numerators if the denominators are same.3. If the denominators are Unequal make the common denominator using LCM method.4. Then simplify the answer that is divided the numerator and denominator by the same number.Solved Example on Integer Fraction There are 225 students are in science group and 350 students are in arts group. Total 600 students in a college. What fraction of the college are the arts students?Choices: A. 7/12B. 5/12C. 1/12D. 25/35Correct Answer: ASolution: Step 1: Total number of students in a college = 600.Step 2: Number of science group students= 225.Step 3: Number of arts group students= 350.Step 4:Fraction of arts group students = Number of arts students / Total number of students in college = [Substitute the values]= (50*7)/ (50*12) [Write 350 as 50*7 and 600 as 50*12] = [Reduced term of the fraction] Step 5: The fraction of arts students in a college Practice problem on Integer fraction:Answer : Answer : 2 - 4 Answer :-6 Hope you like the above example of Integers.Please leave your comments, if you have any doubts.
Positive numbers, zero and negative numbers together form an Integer. A fraction is a part or parts of a whole. Decimal fraction is the special fraction whose denominators are 10, 100, 1000 etc. These fractions are called decimal fractions. Let us see about Integers, Fractions and decimals in this article.The numbers 0, 1, −1, 2, −2, … are called integers of which 1, 2, 3, … are called positive integers and −1, −2, −3,… are called negative integers. The collections of all integers are denoted by the letter Z. Thus Z = {…, −3, −2, −1, 0, 1, 2, 3…}.Let us now learn about the Types of Interger Factors:If two numbers are in a / b form, where the two numbers are integer then it said to be a integers fraction,Here, a (numerator)/ b (denominator) à both ‘a’ and ‘b’ not equal to zero.Types of Integer fraction:1. Proper Fraction.2. Improper Fraction.3. Mixed Fraction.Proper Fraction:In the proper fraction is the fraction in which the numerator (the top number) is less than the denominator (the bottom number).Example:1/2, 2/3, 5/7.
Improper Fraction:An improper fraction is the numerator (the top number) is greater than or equal to the denominator (the bottom number).Example:4/3, 5/2, 7/5.Mixed Fraction:Mixed Fraction is the combination of whole number and proper fraction.लेट usIn mixed fraction addition we do the following steps,1. First convert mixed fraction into the proper fraction.[Multiply the denominator (Bottom of the number) of the fraction by the whole number and then add the numerator (top of the number) keep the answer over the original denominator.]2. Add the numerators if the denominators are same.3. If the denominators are Unequal make the common denominator using LCM method.4. Then simplify the answer that is divided the numerator and denominator by the same number.Solved Example on Integer Fraction There are 225 students are in science group and 350 students are in arts group. Total 600 students in a college. What fraction of the college are the arts students?Choices: A. 7/12B. 5/12C. 1/12D. 25/35Correct Answer: ASolution: Step 1: Total number of students in a college = 600.Step 2: Number of science group students= 225.Step 3: Number of arts group students= 350.Step 4:Fraction of arts group students = Number of arts students / Total number of students in college = [Substitute the values]= (50*7)/ (50*12) [Write 350 as 50*7 and 600 as 50*12] = [Reduced term of the fraction] Step 5: The fraction of arts students in a college Practice problem on Integer fraction:Answer : Answer : 2 - 4 Answer :-6 Hope you like the above example of Integers.Please leave your comments, if you have any doubts.
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