Fraction Form To Mixed Form Introducing: • fraction form • mixed form Fraction Form To Mixed Form 1 This picture shows the fraction 23/6 . You can see that 6/6 of the picture forms one whole unit. Each 6/6 can be renamed as 1 for one unit . Three units and 5/6 of another unit will result in the mixed form 3 5/6 . A fraction such as 3 5/6 that has a whole number part and a fraction part is a mixed number. Fraction Form To Mixed Form 2 Any number written in fraction (a/b) form can be written as a whole number or as a mixed number. You can calculate the mixed form for 23/6 by dividing the numerator 23 by the denominator 6 as is shown in the example on the right. The quotient 3 is the whole number. The remainder 5 is the numerator and the denominator is the same denominator 6. Fraction Form To Mixed Form 3 Of course, you can look at the picture to see that there are 3 whole units and 5/ units for the mixed number 3 5/ . 6 6 Since 6/6 is equal to one unit we would have 6/6 + 6/6 + 6/6 + 5/6 or 1+1+1+5/6 or 3 5/6 units in 23/6 . Fraction Form To Mixed Form 4 The same amount, 23/ , 6 is shown with a number line. Fraction Form To Mixed Form 5 The amount shown at the arrow can be written as 11/5 or 2 1/5 . Notice that 5/ names one unit and that there are two 5/ units. 5 5 Fraction Form To Mixed Form 6 This picture shows the fraction 21/8. Notice that there are two 8/8 units and one 5/8 unit for the mixed fraction 2 5/8 . Fraction Form To Mixed Form 7 21/ 8 = 8/8 + 8/8 + 5/8 = 1 + 1 + 5/8 = 2 5/8 Fraction Form To Mixed Form 8 The fraction bar between 21 and 8 can be thought of as “divided by”. Twenty-one eighths can also be read as twenty-one divided by eight. Divide the numerator 21 by the denominator 8. The quotient is 2 and the numerator is the remainder 5 for 2 5/8 the mixed form. Fraction Form To Mixed Form 9 Because 8 divides evenly into 24 the result is the whole number 3. Fraction Form To Mixed Form 10 What is in 20/7 mixed form? Fraction Form To Mixed Form 11 The mixed form of 20/7 is 2 6/7 .