Question

Помогите решить дроби!!! Привести к наименьшему общему знаменателю обыкновенные дроби 7/8 и 2/3 6/7 и 4/5 3/5 и 4/9 8/11 и 5/6 9/10 и 1/3 11/15 и 4/7 5/8 и 1/11 17/20 и 2/9

Answer 1

7/8 и 2/3 - 21/24 и 16/24
6/7 и 4/5- 30/35 и 28/35
3/5 и 4/9-  27/45 и 20/45
8/11 и 5/6 - 48/66 и 55/66
9/10 и 1/3 - 27/30 и 10/30
11/15 и 4/7- 77/105 и 90/105
5/8 и 1/11- 55/88 и 8/88
17/20 и 2/9 - 153/180 и 40/180

Answer 2

Simplifying Fractions

To simplify fractions, we need to find the least common denominator (LCD) and then convert each fraction to an equivalent fraction with that denominator. Let's simplify the given fractions:

1. 7/8 and 2/3:

To find the LCD, we need to find the least common multiple (LCM) of the denominators, which are 8 and 3. The LCM of 8 and 3 is 24. Now, we convert each fraction to an equivalent fraction with a denominator of 24:

- 7/8 = (7 * 3) / (8 * 3) = 21/24 - 2/3 = (2 * 8) / (3 * 8) = 16/24

So, the simplified fractions are 21/24 and 16/24.

2. 6/7 and 4/5:

The LCD for 6/7 and 4/5 is the LCM of 7 and 5, which is 35. Converting each fraction to an equivalent fraction with a denominator of 35:

- 6/7 = (6 * 5) / (7 * 5) = 30/35 - 4/5 = (4 * 7) / (5 * 7) = 28/35

Therefore, the simplified fractions are 30/35 and 28/35.

3. 3/5 and 4/9:

The LCD for 3/5 and 4/9 is the LCM of 5 and 9, which is 45. Converting each fraction to an equivalent fraction with a denominator of 45:

- 3/5 = (3 * 9) / (5 * 9) = 27/45 - 4/9 = (4 * 5) / (9 * 5) = 20/45

Hence, the simplified fractions are 27/45 and 20/45.

4. 8/11 and 5/6:

The LCD for 8/11 and 5/6 is the LCM of 11 and 6, which is 66. Converting each fraction to an equivalent fraction with a denominator of 66:

- 8/11 = (8 * 6) / (11 * 6) = 48/66 - 5/6 = (5 * 11) / (6 * 11) = 55/66

Therefore, the simplified fractions are 48/66 and 55/66.

5. 9/10 and 1/3:

The LCD for 9/10 and 1/3 is the LCM of 10 and 3, which is 30. Converting each fraction to an equivalent fraction with a denominator of 30:

- 9/10 = (9 * 3) / (10 * 3) = 27/30 - 1/3 = (1 * 10) / (3 * 10) = 10/30

Thus, the simplified fractions are 27/30 and 10/30.

6. 11/15 and 4/7:

The LCD for 11/15 and 4/7 is the LCM of 15 and 7, which is 105. Converting each fraction to an equivalent fraction with a denominator of 105:

- 11/15 = (11 * 7) / (15 * 7) = 77/105 - 4/7 = (4 * 15) / (7 * 15) = 60/105

Hence, the simplified fractions are 77/105 and 60/105.

7. 5/8 and 1/11:

The LCD for 5/8 and 1/11 is the LCM of 8 and 11, which is 88. Converting each fraction to an equivalent fraction with a denominator of 88:

- 5/8 = (5 * 11) / (8 * 11) = 55/88 - 1/11 = (1 * 8) / (11 * 8) = 8/88

Therefore, the simplified fractions are 55/88 and 8/88.

8. 17/20 and 2/9:

The LCD for 17/20 and 2/9 is the LCM of 20 and 9, which is 180. Converting each fraction to an equivalent fraction with a denominator of 180:

- 17/20 = (17 * 9) / (20 * 9) = 153/180 - 2/9 = (2 * 20) / (9 * 20) = 40/180

Thus, the simplified fractions are 153/180 and 40/180.

Now you have the simplified forms of the given fractions. Let me know if you need any further assistance!