Answer

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**Hint**: The given question revolves around the concepts of fractions and their properties. We are required to find the number of squares in the given diagram and then find the fraction of squares that are colored in blue.

**:**

__Complete step-by-step answer__So, we can calculate the total number of squares in the figure by multiplying the number of squares in length by the number of squares in breadth.

So, we can see that the number of squares in the length of the given figure is $ 10 $ . Also, the number of squares in the breadth of the given figure is $ 10 $ .

Hence, the total number of squares in the given figure is $ 10 \times 10 = 100 $ .

Now, we have to calculate the number of the squares that are colored in blue.

So, we can see that an entire column of squares is painted in the blue color. So, there are ten squares in the given figure that are in blue color. So, the fraction of the sheet that is in blue color is $ \dfrac{{10}}{{100}} $ . Now, we have to represent this fraction in the simplest terms and then in decimal form to match the option provided to us in the problem itself.

So, cancelling the common factors in numerator and denominator, we have, $ \dfrac{{10}}{{100}} = \dfrac{1}{{10}} $ .

Now, we have to represent the fraction $ \dfrac{1}{{10}} $ in decimal form as $ 0.1 $ .

So, the part of the sheet that is colored in blue in decimals is $ 0.1 $ .

**So, the correct answer is “ $ 0.1 $ ”.**

**Note**: The given question involves converting the fraction obtained into its simplest form and then converting it into decimal form. One must have a strong grip over the topics of fractions and decimals so as to solve such questions. We must take care while doing calculations.

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