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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (the number on the top), here 3, representing how many parts out of the whole are considered. The denominator (the number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent a number that is not whole, using a dot (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
3/6 in decimals can be written as 0.5. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 3/6 into a decimal, we use division. Since 3 is smaller than 6, the division will yield a decimal number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (6) will be taken as the divisor.
Step 2: As 3 is smaller than 6, we can use decimals to complete the division. We will add a decimal point in the quotient, allowing us to write 3 as 30.
Step 3: Now, divide 30 by 6. Determine how many times 6 can be multiplied to approach 30.
Step 4: 6 × 5 = 30, which is exactly 30. We will write 5 in the quotient place.
Step 5: Subtract 30 from 30, which gives 0, meaning the division ends here.
The answer for 3/6 as a decimal is 0.5.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.