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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, the numerator (number on the top) here, 61, 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 those to the right represent the fractional part.
61/4 in decimals can be written as 15.25. It is a terminating decimal, showing it ends and does not repeat.
To get 61/4 in decimal, we will use the division method. Here, as 61 is larger than 4, we can divide directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (61) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 61 by 4. Determine how many times 4 goes into 61.
Step 3: 4 goes into 61 fifteen times because 4 × 15 = 60.
Step 4: Subtract 60 from 61, which gives a remainder of 1.
Step 5: Add a decimal point in the quotient and bring down a 0 to the remainder, making it 10.
Step 6: Divide 10 by 4. 4 goes into 10 two times, which is 8. Subtract 8 from 10 leaving 2.
Step 7: Bring down another 0 to make it 20. Divide by 4, which gives 5. Subtracting 20 leaves no remainder.
The answer for 61/4 as a decimal will be 15.25.