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Last updated on March 16th, 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, 38 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 100. 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.
38/100 in decimals can be written as 0.38. It is a terminating decimal, meaning it does not repeat infinitely.
To get 38/100 in decimal, we will use division method. Here as 38 is smaller than 100 we will take help of decimal method which will give us 0.38. Let's see the step by step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (38) will be taken as dividend and denominator (100) will be taken as divisor.
Step 2: As 38 is smaller than 100 it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, making it 380 and add a decimal point in the quotient place.
Step 3: Now that it is 380 we can divide it by 100. Let's see how many times 100 makes 380.
Step 4: 100 goes into 380 three times since 100 × 3 = 300. We will write 3 in the quotient place and subtract 300 from 380 gives 80.
Step 5: Bring down another 0 in the dividend place and make 80 as 800 and then divide it by 100.
Step 6: 100 goes into 800 eight times since 100 × 8 = 800. Write 8 in the quotient place and subtract 800 from 800 gives 0. The division process ends with a remainder of 0.
The answer for 38/100 as a decimal will be 0.38.