Respuesta :

Answer: The simplified form of above expression is [tex] \frac{7}{30}[/tex]

Step-by-step explanation:

Since we have given that

[tex]\frac{9}{10}-\frac{2}{3}\\[/tex]

We need to solve the above expression to get the simplified answer:

1) Take the L.C.M. of 10 and 3.

L.C.M. of 10 and 3 = 30

2) Make the denominator 30 for each of the fraction .

[tex]\frac{9}{10}\times \frac{3}{3}=\frac{27}{30}\\\\and\\\\\frac{2}{3}\times \frac{10}{10}=\frac{20}{30}[/tex]

3) Take the difference between them:

[tex]\frac{27}{30}-\frac{20}{30}\\\\=\frac{7}{30}[/tex]

Hence, the simplified form of above expression is [tex] \frac{7}{30}[/tex]

A guess that popped in my head

[tex] \: 1.\frac{9 }{10 } - \: \frac{2}{3} [/tex]
[tex]2. \frac{27 - 20}{30} [/tex]
[tex]3. \: \frac{7}{30} [/tex]
Alternative Form : 0.23

I hope it's not complicated