Question

приведите дроби к наименьшему общему знаменателю :а) 1\2 1\4 1\6 в) 8\15 7\10 3\5 д) 1\6 3\8 2\9б) 3\4 3\8 2\3 г) 1\2 2\3 3\5 е) 5\12 4 \15 3\10а) 1\12 7\18 2\3 4\15 в)4\15 1\6 3\20 5\12б) 3\14 5\7 10\21 11\42 г) 7\30 2\45 9\20 17\60зарание спасибо

Answer 1

А 12 в 30 д 72 б 24 г г30 е 60

Answer 2

Calculating the Least Common Denominator (LCD) for Fractions

To find the least common denominator (LCD) for fractions, we need to determine the smallest common multiple of the denominators of the given fractions. Once we have the LCD, we can convert each fraction to an equivalent fraction with the LCD as the denominator.

Let's calculate the LCD for each set of fractions provided:

a) 1/2, 1/4, 1/6 b) 8/15, 7/10, 3/5 c) 1/6, 3/8, 2/9 d) 3/4, 3/8, 2/3 e) 1/2, 2/3, 3/5 f) 5/12, 4/15, 3/10 g) 1/12, 7/18, 2/3, 4/15 h) 4/15, 1/6, 3/20, 5/12 i) 3/14, 5/7, 10/21, 11/42 j) 7/30, 2/45, 9/20, 17/60

Let's calculate the LCD for each set of fractions:

a) 1/2, 1/4, 1/6: To find the LCD, we need to determine the smallest common multiple of 2, 4, and 6. The smallest common multiple of these numbers is 12. Therefore, the LCD for these fractions is 12.

b) 8/15, 7/10, 3/5: To find the LCD, we need to determine the smallest common multiple of 15, 10, and 5. The smallest common multiple of these numbers is 30. Therefore, the LCD for these fractions is 30.

c) 1/6, 3/8, 2/9: To find the LCD, we need to determine the smallest common multiple of 6, 8, and 9. The smallest common multiple of these numbers is 72. Therefore, the LCD for these fractions is 72.

d) 3/4, 3/8, 2/3: To find the LCD, we need to determine the smallest common multiple of 4, 8, and 3. The smallest common multiple of these numbers is 24. Therefore, the LCD for these fractions is 24.

e) 1/2, 2/3, 3/5: To find the LCD, we need to determine the smallest common multiple of 2, 3, and 5. The smallest common multiple of these numbers is 30. Therefore, the LCD for these fractions is 30.

f) 5/12, 4/15, 3/10: To find the LCD, we need to determine the smallest common multiple of 12, 15, and 10. The smallest common multiple of these numbers is 60. Therefore, the LCD for these fractions is 60.

g) 1/12, 7/18, 2/3, 4/15: To find the LCD, we need to determine the smallest common multiple of 12, 18, 3, and 15. The smallest common multiple of these numbers is 180. Therefore, the LCD for these fractions is 180.

h) 4/15, 1/6, 3/20, 5/12: To find the LCD, we need to determine the smallest common multiple of 15, 6, 20, and 12. The smallest common multiple of these numbers is 60. Therefore, the LCD for these fractions is 60.

i) 3/14, 5/7, 10/21, 11/42: To find the LCD, we need to determine the smallest common multiple of 14, 7, 21, and 42. The smallest common multiple of these numbers is 42. Therefore, the LCD for these fractions is 42.

j) 7/30, 2/45, 9/20, 17/60: To find the LCD, we need to determine the smallest common multiple of 30, 45, 20, and 60. The smallest common multiple of these numbers is 180. Therefore, the LCD for these fractions is 180.

Now that we have calculated the LCD for each set of fractions, we can convert each fraction to an equivalent fraction with the LCD as the denominator.

Let's convert the fractions to equivalent fractions with the LCD as the denominator:

a) 1/2, 1/4, 1/6: - 1/2 = 6/12 - 1/4 = 3/12 - 1/6 = 2/12

b) 8/15, 7/10, 3/5: - 8/15 = 16/30 - 7/10 = 21/30 - 3/5 = 18/30

c) 1/6, 3/8, 2/9: - 1/6 = 12/72 - 3/8 = 27/72 - 2/9 = 16/72

d) 3/4, 3/8, 2/3: - 3/4 = 18/24 - 3/8 = 9/24 - 2/3 = 16/24

e) 1/2, 2/3, 3/5: - 1/2 = 15/30 - 2/3 = 20/30 - 3/5 = 18/30

f) 5/12, 4/15, 3/10: - 5/12 = 25/60 - 4/15 = 16/60 - 3/10 = 18/60

g) 1/12, 7/18, 2/3, 4/15: - 1/12 = 15/180 - 7/18 = 70/180 - 2/3 = 120/180 - 4/15 = 48/180

h) 4/15, 1/6, 3/20, 5/12: - 4/15 = 16/60 - 1/6 = 10/60 - 3/20 = 9/60 - 5/12 = 25/60

i) 3/14, 5/7, 10/21, 11/42: - 3/14 = 9/42 - 5/7 = 30/42 - 10/21 = 20/42 - 11/42 = 11/42

j) 7/30, 2/45, 9/20, 17/60: - 7/30 = 14/60 - 2/45 = 4/60 - 9/20 = 27/60 - 17/60 = 17/60

These are the fractions converted to equivalent fractions with the LCD as the denominator.