-   0.00625 of 23 = 625 x 23 = 23 5 100000 5 800

To express 0.00625 of 23/5 as a vulgar fraction, we need to perform the following calculations:

0.00625 × 23/5 = (625/100000) × (23/5) [Converting 0.00625 to fraction form]

= 14375/500000

= 23/800 [Simplifying the fraction by dividing the numerator and denominator by 625]

Therefore, the answer is Option B, 23/800.

Now, let's understand the solution in detail:

• A vulgar fraction is a fraction where the numerator and denominator have no common factors other than 1. It is also called a simple fraction or a common fraction.
• To convert a decimal to a fraction, we need to count the number of decimal places and write the decimal as the numerator over 1 followed by the same number of zeros as the decimal places. For example, 0.25 can be written as 25/100 or 1/4.
• To multiply fractions, we simply multiply the numerators together and multiply the denominators together. For example, (a/b) × (c/d) = (ac/bd).
• To simplify a fraction, we divide both the numerator and denominator by their greatest common factor. For example, 6/12 can be simplified to 1/2 by dividing both the numerator and denominator by 6.
• In the given problem, we need to multiply 0.00625 with 23/5 and express the result as a vulgar fraction. To do this, we first convert 0.00625 to fraction form by writing it as 625/100000. We then multiply it with 23/5 to get 14375/500000.
• To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 625. This gives us 23/800 as the final answer.
• Therefore, the correct answer is Option B, 23/800.

If you think the solution is wrong then please provide your own solution below in the comments section .