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In Mathematics / Middle School | 2014-10-24

Does anyone one how to solve this problem

Asked by yessimari65

Answer (2)

( 3 2 ​ − 6 1 ​ ) ÷ ( 5 2 ​ − 3 1 ​ ) The first thing you must do it to solve the fractions inside the parentheses first 3 2 ​ − 6 1 ​ = 6 4 ​ − 6 1 ​ which is 6 3 ​ or 3 2 ​ because you must get a common denominator in order to solve. The common denominator is 6. So you must multiply in order to get 6. 3 2 ​ ∗ 6 = 6 3 ​ Then you do the other fraction: 5 2 ​ − 3 1 ​ = 15 6 ​ − 15 5 ​ which is 15 1 ​ because 15 is the common denominator and you must multiply the denominator to get 15, thus, you must multiply by the same amount for the numerator. So now it is 6 3 ​ ÷ 15 1 ​ but when dividing, you just need to flip-flop the second fraction and then multiply across. Now it is 6 3 ​ ∗ 1 15 ​ = 6 45 ​ But to simplify, you find a common factor which is 3. 45÷3=15 and 6÷3=2 which is now 2 15 ​ You answer is C) 2 15 ​

Answered by Geekhawk | 2024-06-10

To solve the given division problem involving fractions, we first compute each fraction within the parentheses, then divide the first result by the second using the reciprocal. This leads us to the final answer of 2 15 ​ .
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Answered by Geekhawk | 2024-12-26