Simplify..
8/-15+4/-3
Answers
Answered by
55
HIIIII HERE IS YOUR ANSWER......!!.,
=8/-15 + 4/-3
=8/-15 + 20/-15
=28/-15
=(-1.87)
HOPE IT HELPS YOU
☝
=8/-15 + 4/-3
=8/-15 + 20/-15
=28/-15
=(-1.87)
HOPE IT HELPS YOU
☝
Answered by
65
Hello....
Answer...
Solution :
We have,
![\frac{8}{ - 15} + \frac{4}{ - 3} = \frac{ - 8}{15} + \frac{ - 4}{3} \frac{8}{ - 15} + \frac{4}{ - 3} = \frac{ - 8}{15} + \frac{ - 4}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B8%7D%7B+-+15%7D++%2B++%5Cfrac%7B4%7D%7B+-+3%7D++%3D++%5Cfrac%7B+-+8%7D%7B15%7D++%2B++%5Cfrac%7B+-+4%7D%7B3%7D+)
:
![{ \frac{8}{ - 15} = \frac{8 \times - 1}{( - 15) \times ( - 1)} = \frac{ - 8}{15} \: and \: \frac{ 4}{ - 3} = \frac{4 \times - 1}{( - 3) \times ( - 1)} = \frac{ - 4}{3} } { \frac{8}{ - 15} = \frac{8 \times - 1}{( - 15) \times ( - 1)} = \frac{ - 8}{15} \: and \: \frac{ 4}{ - 3} = \frac{4 \times - 1}{( - 3) \times ( - 1)} = \frac{ - 4}{3} }](https://tex.z-dn.net/?f=%7B+%5Cfrac%7B8%7D%7B+-+15%7D++%3D++%5Cfrac%7B8+%5Ctimes++-+1%7D%7B%28+-+15%29+%5Ctimes+%28+-+1%29%7D++%3D++%5Cfrac%7B+-+8%7D%7B15%7D++%5C%3A+and+%5C%3A++%5Cfrac%7B++4%7D%7B+-+3%7D++%3D++%5Cfrac%7B4+%5Ctimes++-+1%7D%7B%28+-+3%29+%5Ctimes+%28+-+1%29%7D++%3D++%5Cfrac%7B+-+4%7D%7B3%7D+%7D)
Rewriting
![\frac{ - 4}{3} \frac{ - 4}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B+-+4%7D%7B3%7D+)
In the form in which it has denominator 15, we get
![\frac{ - 4}{3} = \frac{ - 4 \times 5}{3 + 5} = \frac{ - 20}{15 } \\ \\ \frac{8}{ - 15} + \frac{4}{ - 3} = \frac{ - 8}{15} + \frac{ - 4}{3} \\ \\ = \frac{ - 8}{15} + \frac{ - 20}{15} \\ \\ = \frac{( - 8) + ( - 20)}{15} = \frac{ - 28}{15} \frac{ - 4}{3} = \frac{ - 4 \times 5}{3 + 5} = \frac{ - 20}{15 } \\ \\ \frac{8}{ - 15} + \frac{4}{ - 3} = \frac{ - 8}{15} + \frac{ - 4}{3} \\ \\ = \frac{ - 8}{15} + \frac{ - 20}{15} \\ \\ = \frac{( - 8) + ( - 20)}{15} = \frac{ - 28}{15}](https://tex.z-dn.net/?f=+%5Cfrac%7B+-+4%7D%7B3%7D+%3D++%5Cfrac%7B+-+4+%5Ctimes+5%7D%7B3+%2B+5%7D++%3D++%5Cfrac%7B+-+20%7D%7B15+%7D+++%5C%5C++%5C%5C++%5Cfrac%7B8%7D%7B+-+15%7D++%2B++%5Cfrac%7B4%7D%7B+-+3%7D++%3D++%5Cfrac%7B+-+8%7D%7B15%7D++%2B++%5Cfrac%7B+-+4%7D%7B3%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+-+8%7D%7B15%7D++%2B++%5Cfrac%7B+-+20%7D%7B15%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B%28+-+8%29+%2B+%28+-+20%29%7D%7B15%7D++%3D++%5Cfrac%7B+-+28%7D%7B15%7D+)
Hope this is helpful ☺ ☺ ☺
Answer...
Solution :
We have,
:
Rewriting
In the form in which it has denominator 15, we get
Hope this is helpful ☺ ☺ ☺
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