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FRACTIONS

Fractional equivalents of halves, fourths, and eighths.

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1. The first circle is divided into how many equal parts? What is each part called?

2. The second circle is divided into how many equal parts? What is each part called?

3. The third circle is divided into how many equal parts? What is each part called?

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4. of the first circle of the second circle. of the first circle = of the third circle.

5. How many halves of a circle are there in one circle? how many fourths of a circle? how many eighths of a circle? 6. Change to fourths; thus, = 2.

7. Change to eighths; to eighths. 8. How many units are there in 2, 4, 8? 9. of the first circle + times the first circle? Then

of the first circle = how many +1= how many?

10. part of the second circle? Then

of the second circle + of the second circle = what

11. of the second circle + many times the second circle?

+ 1 = how many?

of the second circle = how

Then += how many?

12. of the third circle of the same circle. Then

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16. Four boys each have $1. How many dollars have they? 17. $1+81=$4; $1+$1=$1; } day+1 day = } day. 18. $4+$4=$4; $q = how many dollars?

19. days-days; & days = 1 day and days.

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20. 81+1=1 ; $1 + $ 1 + $ 1 + $ 1 = $ 1⁄2•

21. Write in order of their size of the first circle; of the second circle, and of the third circle.

A unit is any one thing.

A fraction is one or more of the equal parts of a unit.

22. Write in figures one half; one fourth. How many figures are needed to express a common fraction? In the fraction what does the 4 show? the 3?

23. Read ; ; ; ; ; ; 12.

24. Write seven eighths; thirteen twenty-fourths.

The denominator of a fraction, which is written below the line, shows into how many equal parts the unit is divided.

The numerator of a fraction, which is written above the line, shows how many equal parts of the fraction are taken. The terms of a fraction are the numerator and denominator. Fractions are said to be equivalent when they have the same value. Thus, 4, and are equivalent fractions.

Fractional equivalents of thirds, sixths, and ninths.

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1. Into how many parts is the first circle divided? the second circle? the third circle?

2. of a circle of the circle

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of the circle.

of the circle.

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of an hour + of an hour = of an hour.

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9. Add 1+1+}; } +Į + Į+1+1+1; 1 +1.

10. Draw an oblong and show that of the oblong = 2 of the oblong 3 of the oblong.

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11. Change to equivalent fractions in eighths: 1, 1, 4, 4. 12. }=}; }=}; } = }; } = }· 6

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13. How many fourths of a pie = § of a pie ?

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14. Draw squares and show that ; that = §; that =3; that = §.

15. How many halves equal one unit? how many thirds? how many fourths? how many sixths? how many ninths? 16. how many units? 12 how many units? = how many units? how many units?

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Fractional equivalents of the yard and the foot, and their

sum.

One foot.

One yard.

1. A foot is what part of a yard?

2. 2 feet are what part of a yard?

3. Into how many parts is the yard divided?

4. How many feet equal of a yard? of a yard? of a yard?

5. Measure a yard on the blackboard. Divide the yard into feet. Divide a foot into inches.

6. How many inches equal of a foot? of a foot? of a foot? 11 feet? 21 feet?

7. 6 inches are what part of a foot? of 2 feet? of a yard? 8. 4 inches are what part of a foot? of 2 feet?

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10. 1=1; 1+1= { ; 1 = }; } + ? = }·

11. 14 ft.+ 1 ft. = how many ft.? 1+1=

12. 1 yd. + 1 yd. + ↓ yd. 13. 2 ft.+3 ft. = — ft.

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ft. + § ft. + & ft.

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Fractional equivalents of fifths, tenths, and fifteenths, and

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1. Into how many parts is the first circle divided? the

second circle? the third circle?

2. Observe the parts of each circle that are not shaded.

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6. of a circle + of the same circle of the circle. Then + 1-3-3; 1-8=%.

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7. How many parts of a unit are there in +} + in +? in ++? in

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13.

9.+? Then how many units?

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13. Change to units and parts of units: 8, 8, 12, 13.

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