সূচন কার নঙ্কাটিকে ভগ্নাংশ: [ধরন: 25 / (2x4 / 25x4) = 0.04]

Here are the solutions to the problems from the image.

: তলৰ ভগ্নাংশবোৰক দশমিক সংখ্যাত প্ৰকাশ কৰা। (Express the following fractions as decimal numbers.)

• Part (i): $\frac{7}{25}$

Step 1: Multiply the numerator and denominator by 4 to make the denominator 100.

$$\frac{7}{25} = \frac{7 \times 4}{25 \times 4} = \frac{28}{100}$$

Step 2: Convert the fraction to a decimal.

$$\frac{28}{100} = \boxed{0.28}$$

• Part (ii): $\frac{3}{40}$

Step 1: Multiply the numerator and denominator by 25 to make the denominator 1000.

$$\frac{3}{40} = \frac{3 \times 25}{40 \times 25} = \frac{75}{1000}$$

Step 2: Convert the fraction to a decimal.

$$\frac{75}{1000} = \boxed{0.075}$$

• Part (iii): $\frac{3}{100}$

Step 1: The denominator is already 100.

$$\frac{3}{100}$$

Step 2: Convert the fraction to a decimal.

$$\frac{3}{100} = \boxed{0.03}$$

• Part (iv): $\frac{23}{5^2 \times 2^3}$

Step 1: Simplify the denominator.

$$5^2 \times 2^3 = 25 \times 8 = 200$$

The fraction is $\frac{23}{200}$.

Step 2: Multiply the numerator and denominator by 5 to make the denominator 1000.

$$\frac{23}{200} = \frac{23 \times 5}{200 \times 5} = \frac{115}{1000}$$

Step 3: Convert the fraction to a decimal.

$$\frac{115}{1000} = \boxed{0.115}$$

• Part (v): $\frac{14}{175}$

Step 1: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 7.

$$\frac{14}{175} = \frac{14 \div 7}{175 \div 7} = \frac{2}{25}$$

Step 2: Multiply the numerator and denominator by 4 to make the denominator 100.

$$\frac{2}{25} = \frac{2 \times 4}{25 \times 4} = \frac{8}{100}$$

Step 3: Convert the fraction to a decimal.

$$\frac{8}{100} = \boxed{0.08}$$

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: তলৰ শতকৰাবোৰক দশমিক সংখ্যাত প্ৰকাশ কৰা। (Express the following percentages as decimal numbers.)

Note: The question asks to convert percentages to decimals, but the given values are fractions. Assuming the intent is to convert these fractions to percentages.

• Part (i): $\frac{7}{25}$

Step 1: Convert the fraction to a decimal.

$$\frac{7}{25} = 0.28$$

Step 2: Multiply by 100 to express as a percentage.

$$0.28 \times 100\% = \boxed{28\%}$$

• Part (ii): $\frac{3}{40}$

Step 1: Convert the fraction to a decimal.

$$\frac{3}{40} = 0.075$$

Step 2: Multiply by 100 to express as a percentage.

$$0.075 \times 100\% = \boxed{7.5\%}$$

• Part (iii): $\frac{3}{100}$

Step 1: Convert the fraction to a decimal.

$$\frac{3}{100} = 0.03$$

Step 2: Multiply by 100 to express as a percentage.

$$0.03 \times 100\% = \boxed{3\%}$$

• Part (iv): $\frac{23}{5^2 \times 2^3}$

Step 1: Convert the fraction to a decimal.

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