Given:
[tex]\dfrac{9}{10}[/tex] divided by 3.8.
To find:
The quotient.
Solution:
We have,
[tex]\dfrac{9}{10}[/tex] divided by 3.8.
Mathematically it can be written as
[tex]\dfrac{9}{10}\div 3.8[/tex]
Convert the decimal into fraction by multiplying and dividing by 10.
[tex]=\dfrac{9}{10}\div \dfrac{38}{10}[/tex]
[tex]=\dfrac{9}{10}\times \dfrac{10}{38}[/tex] [Reciprocal rule of division]
[tex]=\dfrac{9}{38}[/tex] (Cancel out the common factors)
[tex]\approx 0.237[/tex]
Therefore, the quotient is [tex]\dfrac{9}{38}[/tex], which is approximately 0.237.