What is the quotient? 2m+4/8 m+2/6
2 answers:
(2m + 4) / 8 x 6/m+2
2(m + 2)/8 x 6/ (m+2) : 2 from [2(m] becomes a 1. 6 becomes a 3 , 8 becomes a 4 then cross out 4 and it becomes a 2.
= 3/2
Answer:
The quotient of given expression is 1.5.
Step-by-step explanation:
The given expression is
![\frac{2m+4}{8}\div \frac{m+2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2m%2B4%7D%7B8%7D%5Cdiv%20%5Cfrac%7Bm%2B2%7D%7B6%7D)
It can be written as
![\frac{\frac{2m+4}{8}}{\frac{m+2}{6}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B2m%2B4%7D%7B8%7D%7D%7B%5Cfrac%7Bm%2B2%7D%7B6%7D%7D)
![\frac{2m+4}{8}\times \frac{6}{m+2}](https://tex.z-dn.net/?f=%5Cfrac%7B2m%2B4%7D%7B8%7D%5Ctimes%20%5Cfrac%7B6%7D%7Bm%2B2%7D)
![\frac{2\times (m+2)\times 6}{8\times (m+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%20%28m%2B2%29%5Ctimes%206%7D%7B8%5Ctimes%20%28m%2B2%29%7D)
Cancel out common factors.
![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
![1.5](https://tex.z-dn.net/?f=1.5)
Therefore the quotient of given expression is 1.5.
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