{"id":63745,"date":"2021-03-12T10:40:45","date_gmt":"2021-03-12T05:10:45","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=63745"},"modified":"2022-04-01T10:28:02","modified_gmt":"2022-04-01T04:58:02","slug":"fraction-as-a-part-of-a-whole","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/fraction-as-a-part-of-a-whole\/","title":{"rendered":"Fraction as a Part of a Whole – Definition, Facts and Examples | How to write Fraction as a Whole?"},"content":{"rendered":"

Fraction as a part of a whole definition, rules, facts, and examples here. Get various problems and solutions involved in whole fractions. Know the tips to solve various problems and find the definition here. Follow the step-by-step procedure to solve part-whole fraction problems. Refer to the models that are present in whole fractions. Check the below sections to know the various concepts involved in fraction whole parts.<\/p>\n

What is a Fraction of a Whole?<\/h2>\n

In the interpretation of part-whole, the denominator value shows equal parts number in whole and the numerator represents the number of parts that are included in a particular fraction. The construct of the whole-part is often represented with the model area like dividing the shape into equal parts. The fraction represents the part of the object. Therefore, the fraction is the whole object part. It is a collection of objects or part of the collection. If the number is not a whole number, then it is a fraction number.<\/p>\n

The fraction is a whole number part like 1, 2, 3, 4, 5, 6, ………. 200 …….. etc.<\/p>\n

Example of fraction numbers:<\/strong> \\(\\frac { 1 }{ 3 } \\), \\(\\frac { 1 }{ 5 } \\), \\(\\frac { 1 }{ 7 } \\), \\(\\frac { 1 }{ 9 } \\), \\(\\frac { 1 }{ 11 } \\), \\(\\frac { 1 }{ 13 } \\), etc.<\/p>\n

How do you write a Fraction as a Whole?<\/h3>\n

The way to represent whole parts is a fraction. If the fraction is represented with a\/b, then the numerator “a” represents the equal number of parts where the whole number is divided into parts. The denominator “b” represents the way that represents the whole number. The denominator value cannot be zero, as division by zero is the undefined value.<\/p>\n

Important Concepts of Whole Parts<\/h3>\n

Property of one<\/strong><\/p>\n

The number which is divided by itself and which is not divided by zero is called the property of one.<\/p>\n

Example:<\/strong> 3\/3 = 1 where 3 \u2260 0<\/p>\n

Mixed Numbers<\/strong><\/p>\n

The mixed number is nothing but the whole number (a) along with the fraction value (b\/c) where c \u2260 0 and it ca be written as a b\/c where c \u2260 0<\/p>\n

Example:<\/strong> 4\u00be is the mixed fraction<\/p>\n

Proper and Improper Fractions<\/strong><\/p>\n

If the proper fraction is ab, then a<b and if the improper fraction is ab, then a\u2265b<\/p>\n

Conversion of an improper fraction into a mixed fraction<\/strong><\/p>\n

    \n
  1. The numerator has to be divided with denominator<\/li>\n
  2. Check remainder, quotient, divisor<\/li>\n
  3. Note down the mixed number as the quotient i.e., remainder\/divisor<\/li>\n<\/ol>\n

    Conversion of a mixed fraction into an improper fraction<\/strong><\/p>\n

      \n
    1. The denominator has to be multiplied by the whole number<\/li>\n
    2. The product we get in Step 1 has to be added to the numerator<\/li>\n
    3. In the last step, add the final product and put the denominator as it is<\/li>\n<\/ol>\n

      Fractions of equivalent property<\/strong><\/p>\n

      If the numbers are a, b and c where c \u2260 0, b \u2260 0 then a\/b = a-c\/b-c<\/p>\n

      Also, Check:<\/p>\n