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## HOW TO IDENTIFY FRACTIONS

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**HOW TO IDENTIFY FRACTIONS**Introducing: whole number numerator fraction bar denominator improper**The Whole Unit 1**A colored in circle is used to show one unit for a whole number 1.**The Whole Unit 2**Four circles show 4 units for a whole number 4.**The Whole Unit 3**This number line shows two units. The arrow and the red line shows that one unit is selected for a whole number 1.**The Whole Unit 4**The arrow and the red line shows that 3 units are selected for a whole number 3.**The Numerator and Denominator**This unit has 5 equal parts.**The Numerator and Denominator**Three of the parts are selected (colored).**The Numerator and Denominator**The denominator 5 tells us that there are 5 equal parts in the unit. The numerator 3 tells us that 3 of the equal parts are selected (colored). This fraction can also be written as three-fifths.**The Numerator and Denominator**There are 8 equal parts in this unit, giving a denominator of 8. Five of the parts are selected, giving a numerator of 5. This fraction can also be written as five-eighths.**The Numerator and Denominator**The denominator 4 shows that the distance from 0 to 1 is divided into 4 equal parts. The numerator 1 shows that 1 of the parts is selected. This fraction can also be written as one-fourth.**The Numerator and Denominator**The denominator 6 in the fraction 3/6 shows that the distance from 0 to 1 is divided into 6 equal parts. The numerator 3 shows that 3 of the 6 parts are selected. This fraction can also be written as three-sixths.**The Numerator and Denominator**The numerator 4 shows that 4 of the 6 parts are selected. Notice the fraction increases in size as the numerator increases.**The Numerator and Denominator**The denominator 3 tells us that the unit has 3 equal parts. One of the parts is selected for a numerator of 1. This fraction can also be written as one-third.**The Numerator and Denominator**The denominator has been increased to 4. Notice the fraction has decreased in size.**The Numerator and Denominator**The denominator has been increased to 5. As the denominator increases, the the fraction decreases in size.**The Numerator and Denominator**The numerator increases to 2 and the fraction increases in size.**The Whole Number**The numerator increases to 5 and the fraction increases to a complete unit. The fraction 5/5 is equal to whole number 1**The Mixed Number**The numerator increases to 6. Now the fraction can be written as a mixed number. The mixed number 1 1/5 has a whole number part 1 and a fraction part 1/5.**The Mixed Number**The picture shows that 6/5 can be written as 5/5 and 1/5 or 1 1/5. A fraction such as 6/5 where the numerator is the same or larger than the denominator is an improper fraction.**The Mixed Number**The picture shows that 23/6 is made up of 6/6 + 6/6 + 6/6 + 6/6 + 5/6. Each 6/6 equals 1, so the fraction can be written as the mixed number 3 5/6.**The Mixed Number**You can think of the numerator 23 as a dividend and the denominator 6 as a divisor. Dividing 23 by 6 will give a quotient of 3 with a remainder of 5. The quotient 3 is the whole number and the remainder 5 is the numerator in the mixed number 3 5/6 .