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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: the numerator (number on the top), here 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 30. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
6/30 as a decimal can be written as 0.2. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 6/30 to a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (30) will be taken as the divisor.
Step 2: As 6 is smaller than 30, we will use the decimal method. We will add 0 to the dividend, which will make 6 as 60, and add a decimal point in the quotient place.
Step 3: Now that it is 60, we can divide it by 30. Let's see how many times 30 fits into 60.
Step 4: 30 fits into 60 exactly 2 times, as 30 × 2 = 60.
Step 5: We will write 2 in the quotient place and subtract 60 from 60, giving a remainder of 0. Since we get a remainder of 0, the process stops here.
The answer for 6/30 as a decimal is 0.2.