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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 ?

4. 1 of the first circle = { of the second circle. 1 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 1 to fourths ; thus, j = 4.
7. Change 1 to eighths; 4 to eighths.
8. How many units are there in Ž, 4, 8 ?

9. 1 of the first circle + 1 of the first circle = how many times the first circle? Then 1+1= how many ?

10. 1 of the second circle + 1 of the second circle = what part of the second circle ? Then + 1 = how many ?

11. of the second circle + of the second circle = how many times the second circle? Then 4 + 4 = how many ?

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

13. 1= ģ; = š= 4: 14. Change , and each to eighths. 15. of an orange = { = ģ of the same orange. 16. Four boys each have $1. How many dollars have they? 17. $1+$1=$}; $i+*1=$1; } day+1 day = ĝ day. 18. $4+$4 = $; $f = how many dollars ? 19. f days=-days ; f days=1 day and į days. 20. $1 +$1 = $1; $]+$]+$1 + $1 = $3.

21. Write in order of their size 1 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 f what does the 4 show? the 3 ?

23. Read ; }; j; ; ; Ø ; 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 1, 4, and f are equivalent fractions.

Fractional equivalents of thirds, sixths, and ninths.
1 unit = 3:
1 unit = 6.

1 unit =

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

2. } of a circle = å of the circle = g of the circle.
3. j of a circle of the circle = ģ of the circle.
4. of a circle = á of the circle = of the circle.
5. } + 3 = å ; } + 3 = ģ; } + 3 = &
6. of an hour + 1 of an hour = å of an hour.
7. of a day + of a day = g of a day.
8. } + ; } + = —; 1+1=

= — ; 1+1= 9. Add } + {+}; & + d + +&+*+; } + 1. 10. Draw an oblong and show that of the oblong = à of the oblong = g of the oblong.

11. Change to equivalent fractions in eighths: 1, 1, 4, 4. 12. }

; ģ. 13. How many fourths of a pie = g of a pie ? 14. Draw squares and show that 1 = 4; that f=f; that = ; that g=s.

15. How many halves equal one unit? how many thirds ? how many fourths ? how many sixths ? how many ninths ?

16. 4= how many units ? = how many units? = how many units ? f= 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 į 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? 9. 11 ft. + 11 ft. = ft. 10. A=ỷ}+=ị; }=k; } + 8 == 11. 11 ft. + 1 ft. = how many ft.? 14+1= – 12. } yd. + 1 yd. + 1 yd. = — yd. - ft. 13. 2} ft. + 3 ft. ft. yd. 14. f ft. + 1 ft.= — ft. ; $ ft. + f ft. + f ft. = — ft. 15. ft. = ft. ; f ft.= - ft. ; & ft. =

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Fractional equivalents of fifths, tenths, and fifteenths, and their sum and difference.

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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. ž1o = 10 = 16 3. Then = 'o = is; f = 1 = 15; 6 = 1$ = is.

4. Each of five boys had of a dollar. How many dollars did they have ?

5. What is meant by } of a circle ? of a circle ? of a circle ? to of a circle ? ļ of a circle ?

6. of a circle + } of the same circle = { of the circle. Then + g = }; $-=; - {=}.

7. How many parts of a unit are there in } + } +? in + ? in bo + +i? in 15 +14+15? in 185-15?

8. } + 10 = 5'; } +1 = 1; $ +}= 1. 9. & += }? Then so = how many units ? 10. = how many units and remaining ? 11. = how many units and remaining ? 12. 18

15 = how many units and po remaining ? 13. Change to units and parts of units: 4, 5, 12, 1%.

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