6 3/25 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 6 3/25 as a decimal?

$6 3/25 as a decimal$ Answer

6 3/25 in decimals can be written as 6.12. It is a terminating decimal because it ends after a finite number of digits.

Explanation

To convert 6 3/25 to a decimal, we first need to convert the fractional part 3/25 into a decimal. 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 (25) will be the divisor.

Step 2: Divide 3 by 25. Since 3 is smaller than 25, we will take the help of decimals. We will add 0 to the dividend, which will make it 30, and add a decimal point in the quotient place.

Step 3: Divide 30 by 25, which equals 1 with a remainder of 5.

Step 4: Bring down another 0, making it 50. Divide 50 by 25, which equals 2 with no remainder.

Step 5: As there is no remainder, the division ends, so 3/25 as a decimal is 0.12.

Step 6: Combine the whole number part (6) with the decimal part (0.12) to get 6.12.

Important Glossaries for 6 3/25 as a decimal

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.