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Last updated on March 13th, 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, 12 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 75. 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.
12/75 in decimals can be written as 0.16. It is a terminating decimal, meaning the division process ends after a certain number of decimal places.
To get 12/75 in 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 (12) will be taken as the dividend and the denominator (75) will be taken as the divisor.
Step 2: As 12 is smaller than 75, it can't be divided directly into a whole number. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 12 as 120 and add a decimal point in the quotient place.
Step 3: Now that it is 120, we can divide it by 75. Let's see how many times 75 fits into 120.
Step 4: 75 goes into 120 once (1 × 75 = 75). We write 1 in the quotient place and subtract 75 from 120, which gives 45.
Step 5: Bring down another 0 in the dividend place making it 450 and then repeat the division process.
Step 6: 75 goes into 450 six times (6 × 75 = 450). We write 6 in the quotient place. The remainder is 0, which means the division process ends here.
The answer for 12/75 as a decimal will be 0.16.