Question

Приведите дроби к общему знаменателю a) 3/4 ; 5/6 b) 2/5 ; 7/10 c) 2/9; 5/6 d) 7/8 ; 1/6 Срочно нужен ответ помогите пожалуйста ​

Answer 1

Відповідь:

Покрокове пояснення:

Answer 2

Finding the Common Denominator for Fractions

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

Let's find the common denominators for the given fractions:

a) 3/4 and 5/6

To find the common denominator for 3/4 and 5/6, we need to find the LCM of 4 and 6. The LCM of 4 and 6 is 12.

To convert 3/4 to an equivalent fraction with a denominator of 12, we multiply both the numerator and denominator by 3: 3/4 * 3/3 = 9/12

To convert 5/6 to an equivalent fraction with a denominator of 12, we multiply both the numerator and denominator by 2: 5/6 * 2/2 = 10/12

Therefore, the fractions 3/4 and 5/6 can be expressed with a common denominator of 12 as 9/12 and 10/12, respectively.

b) 2/5 and 7/10

To find the common denominator for 2/5 and 7/10, we need to find the LCM of 5 and 10. The LCM of 5 and 10 is 10.

To convert 2/5 to an equivalent fraction with a denominator of 10, we multiply both the numerator and denominator by 2: 2/5 * 2/2 = 4/10

To convert 7/10 to an equivalent fraction with a denominator of 10, we multiply both the numerator and denominator by 1: 7/10 * 1/1 = 7/10

Therefore, the fractions 2/5 and 7/10 can be expressed with a common denominator of 10 as 4/10 and 7/10, respectively.

c) 2/9 and 5/6

To find the common denominator for 2/9 and 5/6, we need to find the LCM of 9 and 6. The LCM of 9 and 6 is 18.

To convert 2/9 to an equivalent fraction with a denominator of 18, we multiply both the numerator and denominator by 2: 2/9 * 2/2 = 4/18

To convert 5/6 to an equivalent fraction with a denominator of 18, we multiply both the numerator and denominator by 3: 5/6 * 3/3 = 15/18

Therefore, the fractions 2/9 and 5/6 can be expressed with a common denominator of 18 as 4/18 and 15/18, respectively.

d) 7/8 and 1/6

To find the common denominator for 7/8 and 1/6, we need to find the LCM of 8 and 6. The LCM of 8 and 6 is 24.

To convert 7/8 to an equivalent fraction with a denominator of 24, we multiply both the numerator and denominator by 3: 7/8 * 3/3 = 21/24

To convert 1/6 to an equivalent fraction with a denominator of 24, we multiply both the numerator and denominator by 4: 1/6 * 4/4 = 4/24

Therefore, the fractions 7/8 and 1/6 can be expressed with a common denominator of 24 as 21/24 and 4/24, respectively.

Summary:

a) 3/4 and 5/6 can be expressed with a common denominator of 12 as 9/12 and 10/12 respectively. b) 2/5 and 7/10 can be expressed with a common denominator of 10 as 4/10 and 7/10 respectively. c) 2/9 and 5/6 can be expressed with a common denominator of 18 as 4/18 and 15/18 respectively. d) 7/8 and 1/6 can be expressed with a common denominator of 24 as 21/24 and 4/24 respectively.

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