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777dan777 [17]
2 years ago
13

Rewrite each fraction with a denominator of 24. 2/3 and 5/8

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
6 0

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

tangare [24]2 years ago
4 0

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

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We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

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Then the sum of the first 8 terms is given by:

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If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

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