How can you express 0.75 as a fraction?

How can you express 0.75 as a fraction?

• A. 3/4
• B. 2/3
• C. 1/2
• D. 1/4

Answer: (A)

To express 0.75 as a fraction, you can start by recognizing that the decimal represents a certain number of tenths. The number 0.75 can be broken down as 75 hundredths, which can be written as 75/100. Next, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 75 and 100 is 25. By dividing both the numerator and the denominator by their GCD, you get: 75 ÷ 25 = 3 100 ÷ 25 = 4 This simplifies 75/100 to 3/4. Thus, 0.75 is equivalent to the fraction 3/4. Therefore, the correct answer accurately represents the decimal in fraction form, making it clear how the relationship between the decimal and the fraction is established through simplification of the fraction derived from the decimal representation.

To express 0.75 as a fraction, you can start by recognizing that the decimal represents a certain number of tenths. The number 0.75 can be broken down as 75 hundredths, which can be written as 75/100.

Next, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 75 and 100 is 25. By dividing both the numerator and the denominator by their GCD, you get:

75 ÷ 25 = 3

100 ÷ 25 = 4

This simplifies 75/100 to 3/4. Thus, 0.75 is equivalent to the fraction 3/4.

Therefore, the correct answer accurately represents the decimal in fraction form, making it clear how the relationship between the decimal and the fraction is established through simplification of the fraction derived from the decimal representation.