Equations are expressions with equal values
- (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
- (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
<u>(a) (1/3) ² +1 and 2 - 8/9</u>
Rewrite as:
![\mathbf{(1/3)\² +1 = 2 - 8/9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%281%2F3%29%5C%C2%B2%20%2B1%20%3D%202%20-%208%2F9%7D)
Evaluate the exponent
![\mathbf{1/9 +1 = 2 - 8/9}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%2F9%20%2B1%20%3D%202%20-%208%2F9%7D)
Take LCM
![\mathbf{1\frac 19 = \frac{18- 8}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%20%5Cfrac%7B18-%208%7D%7B9%7D%7D)
![\mathbf{1\frac 19 = \frac{10}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%20%5Cfrac%7B10%7D%7B9%7D%7D)
Simplify
![\mathbf{1\frac 19 = 1\frac{1}{9}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%2019%20%3D%201%5Cfrac%7B1%7D%7B9%7D%7D)
Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
<u>(b) (1+ 1/5)^2 and 2 16/25</u>
Rewrite as:
![\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%281%2B%201%2F5%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Take LCM
![\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28%5Cfrac%7B5%20%2B%201%7D%7B5%7D%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
![\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28%5Cfrac%7B6%7D%7B5%7D%29%5E2%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
![\mathbf{\frac{36}{25} =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B36%7D%7B25%7D%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Rewrite as:
![\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}](https://tex.z-dn.net/?f=%5Cmathbf%7B1%5Cfrac%7B9%7D%7B25%7D%20%3D2%5Cfrac%7B%2016%7D%7B25%7D%7D)
Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
Read more about equations at:
brainly.com/question/13636476