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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 61, which 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 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.
61/100 in decimals can be written as 0.61. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 61/100 into decimal form, we will use the division method. Here, since 61 is smaller than 100, the division will yield a decimal number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (61) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: Since 61 is smaller than 100, we can't directly divide it. We will place a decimal point in the quotient and add a zero to the dividend, making it 610.
Step 3: Now we can divide 610 by 100. Let's see how many times 100 fits into 610.
Step 4: 100 goes into 610 six times, resulting in 100 × 6 = 600. We will write 6 in the quotient place and subtract 600 from 610, giving us a remainder of 10.
Step 5: Bring down another 0 in the dividend place to make it 100. 100 goes into 100 exactly once, adding 1 to the quotient.
Step 6: The division process results in no remainder, indicating that 61/100 as a decimal is 0.61.