Fractions Core Lessons

➪  Fractions:        Like and Unlike Fractions Representations of Fractions on a Number Line Conversion of Mixed Fractions into Improper Fractions Conversion of Improper Fractions into Mixed Fractions Addition and Subtraction of Like Fractions Addition and Subtraction of Unlike Fractions Exercises on Fractions FRACTIONS: A fraction is a number representing a part of a whole thing. The whole thing might be a single object or a group of objects. Example: Assume  5 7   is a fraction. This fraction is read as "five-seventh" which means that 5 parts out of 7 equal parts in which the whole is divided. In the fraction, 5 is called the numerator and 7 is the denominator. LIKE FRACTIONS: Fractions with the same denominators are called Like Fractions. Example:                  1 7 ;        2 7 ;        3 7 ;        5 7 ;        6 7 . As you can see "7" is the bottom number and is the same (like or alike) for the whole fractions above. UNLIKE FRACTIONS: These are fractions with different denominators. Example:                  1 5 ;        2 7 ;        3 13 ;        4 9 ;        6 17 . Check this out: The bottom numbers of the fractions above aren't the same instead they are different (unlike), what leads us to name these fractions: unlike fractions. REPRESENTATIONS of FRACTIONS on a NUMBER LINE Here we will show fractions on a number line. To do that, we draw a number line, mark points on it and divide the gaps between points in parts to represent fractions. As you can see, the gap between 0 and 1 is divided into 5 equal parts and the fractions: 1 5 ,   2 5 ,   3 5   and   4 5 are represented on the numbers Line.   remark: 1 = 5 5 CONVERSION of MIXED FRACTIONS into IMPROPER FRACTIONS Let  2 3 5  be the mixed fraction: As you can see, this mixed fraction has two different parts: a whole number: 2 and a proper fraction: 3 5 , consisting of a numerator (3) and a denominator (5). The conversion includes 3 steps: multiply the whole number (2) by the denominator (5); add the numerator (3); keep the same denominator (5). The Formula Improper fraction = (Whole Number × Denominator) + Numerator Denominator Example: Express each of the following mixed fractions as improper fractions 2 3 5 = (2 × 5) + 3 5 = 13 5 4 5 9 = (4 × 9) + 5 9 = 41 9 3 2 7 = (3 × 7) + 2 7 = 23 7 7 1 4 = (7 × 4) + 1 4 = 29 4 CONVERSION of IMPROPER FRACTIONS into MIXED FRACTIONS Let  28 9  be the improper fraction. Dividing 28 by 9 (28 ÷ 9) gives us: a Quotient: 3; and a Remainder: 1. the Denominator (9) is still the same. This fraction can be written: 3 1 9 The Formula Mixed fraction = Quotient × Remainder Denominator Example: Express each of the following improper fractions as mixed fractions 17 4 = 4 1 4 226 15 = 15 1 15 28 9 = 3 1 9 13 5 = 2 3 5 TOP