CHANGING IMPROPER FRACTIONS TO WHOLE OR MIXED NUMBERS

A fraction whose numerator is equal to or greater than its denominator is an improper fraction; as, 2, §, 1, 5. A number made up of a whole number and a fraction is a mixed number; as, 21, 3§.

1. Change 22 to a mixed number.

22=43

Oral

Since there are 5 fifths in one unit, in 22 fifths there are as many units as there are 5's in 22; that is, 4 units and 2 fifths of a unit.

1. Change 2 to a fraction with 3 for a denominator.

2 = 2 =

2. Change to halves: 1 3 5 6 8

3. Change to tenths: 1 4 6

8 10

4. Change to twentieths: 1 2 4 5 10

5. Change 4 to an improper fraction.

45 = 37

1 = 1; 4 = 4; 2 +f=&

Tell how to change a whole or mixed number to an

improper fraction.

Change to improper fractions:

1. Change 1, 2, 3, 4, 5 to fractions with 8 for a denominator.

2. What are such fractions called?

3. Name five fractions each equal to 1.

4. Name five fractions each equal to .

5. Name all the fractions equal to having two figures in the denominator.

6. Change to lowest terms: 2 3 18 18 18 19 63 14 38 88 85 48 81 92

12

90

6

72

7. When is a fraction in its lowest terms?

10. What change must be made before can be added

5

13. Add to: § 12 12 11 16 16 18 14. Add to: 1 & 1 1 15 20 2% 18

Add:

1/5

20

Written

The least common multiple of the denominators 4, 5, and 12 is 60. Express ,, and as 60ths.

Always change the fraction in the answer to its lowest

terms.

To add fractions, change the fractions to equivalent frac tions having a common denominator, and write the sum of the numerators over the common denominator.

1. James sold of a box the next.

of a box of corncakes one day and

What part of a box on both days?

2. The charge for one telephone message was $3 and for another $1. What part of a dollar did both cost?

3. Mrs. Jenkins canned of a crate of blueberries on Tuesday and of a crate on Wednesday. How many crates did she can in all?

How

4. Henry walked 11 miles in going to school, of a mile on an errand, and 24 miles in the woods. many miles in all?

5. Susie bought dozen, and Harriet did they all buy?

of a dozen oranges, Mary

of a dozen.

of a

What part of a dozen

6. How much must I pay for a pair of shoes at $31, a

pair of rubbers at $4, and a rubber coat at $5.