Respuesta :

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.

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