How do you convert the fraction 3/8 into a decimal?

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 fraction 3/8 into a decimal, you can perform the division of the numerator (3) by the denominator (8). When you divide 3 by 8, you are essentially determining how many times 8 fits into 3; since 8 is larger than 3, you start off with 0.

Next, you add a decimal point and a zero to the 3, making it 30. Now, you can see that 8 fits into 30 three times (since 8 times 3 equals 24). Subtracting 24 from 30 gives you a remainder of 6, so you bring down another 0, making it 60.

Now, you check how many times 8 can go into 60, which is 7 times (since 8 times 7 equals 56). Subtracting 56 from 60 leaves a remainder of 4. By bringing down yet another zero, you convert it to 40, where 8 fits exactly 5 times (8 times 5 equals 40), yielding a remainder of 0.

Putting this all together, the decimal equivalent of 3/8 is 0.375, confirming the correct conversion

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