Question

Привидите к общиму знаменателю дроби 3 4,7 8, 14 21,2 3.

Answer 1

24
1 дробь к общему множителю 6
2 дробь общий множитель 3
3 дробь сначала мы должны ее разделить на 7 получится 2 3 а потом общий множитель 8
4 дробь общий множитель 8

Answer 2

Finding the Common Denominator

To find the common denominator of the fractions 3/4, 7/8, 14/21, and 2/3, we need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest number that is divisible by all the denominators.

Let's calculate the LCM step by step:

1. The denominator of 3/4 is 4. 2. The denominator of 7/8 is 8. 3. The denominator of 14/21 is 21. 4. The denominator of 2/3 is 3.

To find the LCM, we can list the multiples of each denominator and find the smallest number that appears in all the lists:

- Multiples of 4: 4, 8, 12, 16, 20, 24, ... - Multiples of 8: 8, 16, 24, 32, 40, ... - Multiples of 21: 21, 42, 63, 84, ... - Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...

From the lists above, we can see that the smallest number that appears in all the lists is 24. Therefore, the common denominator for the fractions 3/4, 7/8, 14/21, and 2/3 is 24.

Now, let's express each fraction with the common denominator of 24:

- 3/4 can be written as 18/24. - 7/8 can be written as 21/24. - 14/21 can be simplified to 2/3. - 2/3 can be written as 16/24.

Therefore, the fractions 3/4, 7/8, 14/21, and 2/3 can be expressed with the common denominator of 24 as 18/24, 21/24, 2/3, and 16/24 respectively.

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