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Last updated on March 3rd, 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, 9 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
9/4 in decimals can be written as 2.25. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 9/4 in decimal, we will use the division method. Since 9 is larger than 4, we will directly divide without initially needing decimals. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (4) as the divisor.
Step 2: Divide 9 by 4. 4 goes into 9 two times. Write 2 in the quotient place.
Step 3: Multiply 2 by 4 to get 8. Subtract 8 from 9 to get a remainder of 1.
Step 4: Bring down a 0 to make it 10. This inserts a decimal point in the quotient place.
Step 5: Divide 10 by 4, which goes 2 times with a remainder of 2. Write 2 in the decimal place.
Step 6: Bring down another 0 to make it 20. Divide 20 by 4, which goes 5 times with no remainder.
The answer for 9/4 as a decimal is 2.25.