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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 from the whole. It has two parts, numerator (number on the top) here, 225 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 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.
225/4 in decimals can be written as 56.25. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 225/4 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 (225) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 225 by 4.
Step 3: 4 goes into 22 five times, which gives us 20. Subtract 20 from 22 to get a remainder of 2.
Step 4: Bring down the next digit, which is 5, making it 25.
Step 5: 4 goes into 25 six times, which gives us 24. Subtract 24 from 25 to get a remainder of 1.
Step 6: Bring down a 0, making it 10. 4 goes into 10 two times, which gives us 8. Subtract 8 from 10 to get a remainder of 2.
Step 7: Bring down another 0, making it 20. 4 goes into 20 five times, which gives us 20. Subtract 20 from 20 to get a remainder of 0.
Since we have a remainder of 0, the division ends, and the answer for 225/4 as a decimal is 56.25.