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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 31, which represents how many parts out of the whole, and the denominator (number below), here 50, which shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.
31/50 in decimals can be written as 0.62. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 31/50 into 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 (31) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: Since 31 is smaller than 50, we will use the decimal method to aid our division, which will allow us to express the result as 0.62.
Step 3: Begin the division: 31 divided by 50. Since 31 cannot be divided by 50 as a whole number, we place a decimal point and add a zero, making it 310.
Step 4: Now divide 310 by 50. Determine how many times 50 fits into 310. It fits 6 times because 50 × 6 = 300.
Step 5: Subtract 300 from 310 to get a remainder of 10.
Step 6: Bring down another zero to make it 100. Dividing 100 by 50 gives 2, since 50 × 2 = 100.
Step 7: Subtract 100 from 100, resulting in a remainder of 0.
The division process is complete, and the answer for 31/50 as a decimal is 0.62.