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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 (number on the top), here 2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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.
2/16 in decimals can be written as 0.125. It is a terminating decimal, which means it does not repeat infinitely.
To get 2/16 in decimal, we will use the division method. Here, as 2 is smaller than 16, we will take the help of the decimal method, which will give us 0.125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (16) will be taken as the divisor.
Step 2: As 2 is smaller than 16, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.
Step 3: Now that it is 20, we can divide it by 16. Let's see how many times 16 makes 20.
Step 4: 20 is not a multiple of 16, so we will look for the nearest number, which is 16 × 1 = 16. We will write 1 in the quotient place and subtract 16 from 20, giving 4.
Step 5: Bring down another 0 in the dividend place, making 4 as 40, and then repeat the division process.
Step 6: Divide 40 by 16, which goes 2 times (16 × 2 = 32), subtract 32 from 40, leaving 8.
Step 7: Bring down another 0 to make 80, divide 80 by 16, which goes 5 times (16 × 5 = 80), leaving a remainder of 0. Since the remainder is 0, the division process stops here.
The answer for 2/16 as a decimal will be 0.125.