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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: numerator (number on the top) here, 1684 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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.
1684/4 in decimals can be written as 421. It is a terminating decimal, meaning the division process ends after a finite number of steps.
To get 1684/4 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 (1684) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 1684 by 4.
Step 3: 4 goes into 16 four times (4 × 4 = 16), so we write 4 in the quotient place and subtract 16 from 16, giving 0.
Step 4: Bring down the next digit, 8, making it 08.
Step 5: 4 goes into 8 two times (4 × 2 = 8), so write 2 in the quotient place and subtract 8 from 8, giving 0.
Step 6: Bring down the next digit, 4.
Step 7: 4 goes into 4 one time (4 × 1 = 4), so write 1 in the quotient place and subtract 4 from 4, giving 0.
The division process ends here, and the answer for 1684/4 as a decimal is 421.