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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, 4 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 that to the right represents the fractional part.
4/16 in decimals can be written as 0.25. It is a terminating decimal, meaning it does not repeat infinitely.
To get 4/16 in decimal, we will use the division method. Here, since 4 is smaller than 16, the result will be less than 1.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (4) will be taken as dividend and denominator (16) will be taken as divisor.
Step 2: As 4 is smaller than 16, it can't be divided directly without going into decimals. We will add a decimal point in the quotient place and add zeros to the dividend.
Step 3: Now, convert 4 into 40 (by adding a decimal and a zero) and divide by 16. Let's see how many times 16 fits into 40.
Step 4: 16 fits into 40 two times (2 × 16 = 32). We will write 2 in the quotient place and subtract 32 from 40, which gives us 8.
Step 5: Bring down another 0 in the dividend place to make it 80. Divide 80 by 16.
Step 6: 16 fits into 80 exactly five times (5 × 16 = 80), with a remainder of 0. The division process terminates here.
The answer for 4/16 as a decimal is 0.25.