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Last updated on March 28th, 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: the numerator (the number on the top), here 85, represents how many parts out of the whole. The denominator (the 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
85/100 in decimals can be written as 0.85. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 85/100 in decimal, we will use the division method. Here, 85 is divided by 100. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (85) will be taken as the dividend and the denominator (100) will be taken as the divisor.
Step 2: Since 85 is smaller than 100, it can't be divided as a whole number. Here, we will take the help of decimals. We will add a decimal point in the quotient place and consider 850.
Step 3: Now that it is 850, we can divide it by 100. Let's see how many times 100 fits into 850.
Step 4: 100 goes into 850 eight times (8 × 100 = 800). We will write 8 in the quotient place and subtract 800 from 850, which gives us 50.
Step 5: Bring down another 0 in the dividend place to make 50 as 500, and then repeat the division process. 100 goes into 500 five times (5 × 100 = 500), leaving a remainder of 0.
The division process ends here with no remainder, confirming that 85/100 as a decimal will be 0.85.