Question

ПОМОГИТЕ ПОЖАЛУЙСТА 20 баллов!! Сравните дроби или, приведя к наименьшему общему знаменателю, или же,приведя к общему числителю а)1/4 и 1/6 б)3/8 и 4/15 в) 1/12 и 1/18 г)4/9 и 7/12 д) 1/21 и 3/5 е) 1/24 и 1/36 ж) 7/18 и 5/6 з) 2/15 и 11/12 и) 3/10,3/8 и 3/4 к) 1/20 и 1/30 л) 1/9,1/4 и 1/6 м) 3/28,9/14 и 7/8 ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

Ответ:

а) 1/4 и 1/6 - общ.знам.12=1/4×3 и 1/6×2= 3/12>2/12

б) 3/8 и 4/15 - общ.знам.120=3/8×15 и 4/15×8= 45/120>32/120

в) 1/12 и 1/18 - общ.знам.36=1/12×3 и 1/18×2= 3/36>2/36

г) 4/9 и 7/12 - общ.знам.36=4/9×4 и 7/12×3= 16/36<21/36

д) 1/21 и 3/5 - общ.знам.105=1/21×5 и 3/5×21= 5/105<63/105

е) 1/24 и 1/36 - общ.знам.72=1/24×3 и 1/36×2= 3/72>2/72

ж) 7/18 и 5/6 - общ.знам.18=7/18×1 и 5/6×3= 7/18<15/18

з) 2/15 и 11/12 - общ.знам.60=2/15×4 и 11/12×5= 8/60<55/60

и) 3/10, 3/8 и 3/4 - общ.знам.40=3/10×4, 3/8×5 и 3/4×10= 12/40<15/40<30/40

к) 1/20 и 1/30 - общ.знам.60=1/20×3 и 1/30×2= 3/60>2/60

л) 1/9, 1/4 и 1/6 - общ.знам.36=1/9×4, 1/4×9 и 1/6×6= 4/36<9/36>6/36

м) 3/28, 9/14 и 7/8 - общ.знам.56= 3/28×2, 9/14×4 и 7/8×7= 6/56<36/56<49/56

Answer 2

Comparing Fractions and Finding the Least Common Denominator

To compare fractions, we can either find the least common denominator (LCD) or convert the fractions to have a common numerator. Let's compare the given fractions and find the LCD or a common numerator for each pair:

a) 1/4 and 1/6: To compare 1/4 and 1/6, we can find the least common denominator (LCD) of 4 and 6, which is 12. We can then convert both fractions to have a denominator of 12:

1/4 = 3/12 1/6 = 2/12

Therefore, 1/4 is less than 1/6.

b) 3/8 and 4/15: To compare 3/8 and 4/15, we can find the least common denominator (LCD) of 8 and 15, which is 120. We can then convert both fractions to have a denominator of 120:

3/8 = 45/120 4/15 = 32/120

Therefore, 3/8 is greater than 4/15.

c) 1/12 and 1/18: To compare 1/12 and 1/18, we can find the least common denominator (LCD) of 12 and 18, which is 36. We can then convert both fractions to have a denominator of 36:

1/12 = 3/36 1/18 = 2/36

Therefore, 1/12 is greater than 1/18.

d) 4/9 and 7/12: To compare 4/9 and 7/12, we can find the least common denominator (LCD) of 9 and 12, which is 36. We can then convert both fractions to have a denominator of 36:

4/9 = 16/36 7/12 = 21/36

Therefore, 4/9 is less than 7/12.

e) 1/21 and 3/5: To compare 1/21 and 3/5, we can find the least common denominator (LCD) of 21 and 5, which is 105. We can then convert both fractions to have a denominator of 105:

1/21 = 5/105 3/5 = 63/105

Therefore, 1/21 is less than 3/5.

f) 1/24 and 1/36: To compare 1/24 and 1/36, we can find the least common denominator (LCD) of 24 and 36, which is 72. We can then convert both fractions to have a denominator of 72:

1/24 = 3/72 1/36 = 2/72

Therefore, 1/24 is greater than 1/36.

g) 7/18 and 5/6: To compare 7/18 and 5/6, we can find the least common denominator (LCD) of 18 and 6, which is 18. We can then convert both fractions to have a denominator of 18:

7/18 = 7/18 5/6 = 15/18

Therefore, 7/18 is less than 5/6.

h) 2/15 and 11/12: To compare 2/15 and 11/12, we can find the least common denominator (LCD) of 15 and 12, which is 60. We can then convert both fractions to have a denominator of 60:

2/15 = 8/60 11/12 = 55/60

Therefore, 2/15 is less than 11/12.

i) 3/10, 3/8, and 3/4: To compare 3/10, 3/8, and 3/4, we can find the least common denominator (LCD) of 10, 8, and 4, which is 40. We can then convert all the fractions to have a denominator of 40:

3/10 = 12/40 3/8 = 15/40 3/4 = 30/40

Therefore, 3/10 is less than 3/8, and 3/8 is less than 3/4.

j) 1/20 and 1/30: To compare 1/20 and 1/30, we can find the least common denominator (LCD) of 20 and 30, which is 60. We can then convert both fractions to have a denominator of 60:

1/20 = 3/60 1/30 = 2/60

Therefore, 1/20 is greater than 1/30.

k) 1/9, 1/4, and 1/6: To compare 1/9, 1/4, and 1/6, we can find the least common denominator (LCD) of 9, 4, and 6, which is 36. We can then convert all the fractions to have a denominator of 36:

1/9 = 4/36 1/4 = 9/36 1/6 = 6/36

Therefore, 1/9 is less than 1/4, and 1/4 is greater than 1/6.

m) 3/28, 9/14, and 7/8: To compare 3/28, 9/14, and 7/8, we can find the least common denominator (LCD) of 28, 14, and 8, which is 56. We can then convert all the fractions to have a denominator of 56:

3/28 = 6/56 9/14 = 18/56 7/8 = 49/56

Therefore, 3/28 is less than 9/14, and 9/14 is less than 7/8.

I hope this helps! Let me know if you have any further questions.