How do you solve the problem [tex]\frac{7}{9} + \frac{1}{7} + \frac{3}{5}[/tex]? Please explain thoroughly.

to add fractions you want to make sure that the bottom numbers are the same so we have to make them the same, but we have to make sure that the fractions are unchanged so we get the correct answer
so if we find out what number that 9,7, and 5 can all multiply into. we find that 9 times 7 times 5 or 315 is the number that will work
so to get them to all be over 315, we must multiply each fraction by a form of 1/1 or x/x or (number)/(same numbe as on top)
so 7/9 times (35/35)=245/315 1/7 times (45/45)=45/315 3/5 times (56/56)=168/315
we add them togther 245/315+45/315+168/315=(245+45+168)/315=458/315 this simplifies to 1 and 143/315

Answered by apologiabiology | 2024-06-10

To add those fractions, you must find a common denominator for all of them. To find this, find a number that is a multiple of all three denominators. Then, multiply the top of the fraction by the same number you multiplied to get the common denominator. Finally you add all of the numerators together and keep the denomiator the same.
Example: 1/2+1/4+1/8
The demominators all are factors of the multiple 8. Therefore, we will use 8. Then, since we multiplied 2 by 4 to get eight for the first fraction, we will multiply the top number by 4 also. The new fraction will look like this: 4/8. After you have done that to all of the fractions, the equation will look like this: 4/8+2/8+1/8. Finally add all of the top numbers together and keep the denominator the same. The answer would be 7/8
Hope this helped :) Good luck

Answered by petersonabby | 2024-06-10

To add the fractions 9 7 ​ + 7 1 ​ + 5 3 ​ , first find the least common denominator, which is 315. Convert each fraction and add them to get 315 479 ​ , which simplifies to 1 315 164 ​ .
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Answered by apologiabiology | 2024-12-26