Convert 0.75 to a fraction.

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To convert the decimal 0.75 into a fraction, we start by recognizing that 0.75 can be expressed as a fraction with a denominator of 100, because it has two decimal places. Therefore, we can write:

0.75 = 75/100.

Next, we simplify this fraction. Both the numerator (75) and the denominator (100) can be divided by their greatest common divisor, which is 25.

Dividing 75 by 25 gives us 3, and dividing 100 by 25 gives us 4. Thus, we can simplify the fraction as follows:

75/100 = 3/4.

This means that 0.75 is equivalent to the fraction 3/4, which confirms that the correct answer is indeed the fraction representing 0.75.

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