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Last updated on March 18th, 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, 120 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 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.
120/100 in decimals can be written as 1.2. It is a terminating decimal, meaning it ends after a finite number of digits.
To get 120/100 in decimal, we will use the division method. Since 120 is larger than 100, we can perform the division directly without needing a decimal point initially. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (120) will be taken as the dividend, and the denominator (100) will be taken as the divisor.
Step 2: Divide 120 by 100. 100 goes into 120 one time.
Step 3: Write 1 in the quotient place and subtract 100 from 120, giving a remainder of 20.
Step 4: Bring down a 0 to the right of the remainder to make it 200 and continue the division.
Step 5: 100 goes into 200 two times. Write 2 in the quotient place next to 1.
Step 6: Subtract 200 from 200, resulting in a remainder of 0. The division process ends here as we achieve a remainder of 0, and the answer for 120/100 as a decimal is 1.2.