Table Of Contents
Last updated on March 17th, 2025
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) here, 51, 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 a number that is not whole, using a (.) or a decimal 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.
51/16 in decimals can be written as 3.1875. It is a terminating decimal, meaning it ends after a finite number of digits.
To get 51/16 in 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 (51) will be taken as the dividend and the denominator (16) will be taken as the divisor.
Step 2: Divide 51 by 16 to get the quotient.
Step 3: 51 divided by 16 gives 3 with a remainder of 3.
Step 4: Bring down a 0 to the remainder to make it 30, and continue the division.
Step 5: 30 divided by 16 gives 1 with a remainder of 14.
Step 6: Bring down another 0 to the remainder to make it 140, and continue the division.
Step 7: 140 divided by 16 gives 8 with a remainder of 12.
Step 8: Bring down another 0 to the remainder to make it 120, and continue the division.
Step 9: 120 divided by 16 gives 7 with a remainder of 8.
Step 10: Bring down another 0 to the remainder to make it 80, and divide it by 16 to get 5 with a remainder of 0. The division process ends here because the remainder is 0.
Therefore, the answer for 51/16 as a decimal will be 3.1875.