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Last updated on March 11th, 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, 25 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.
25/4 in decimals can be written as 6.25. It is a terminating decimal, meaning it ends after a certain number of digits.
To get 25/4 in decimal, we will use the division method. Here as 25 is larger than 4, we can directly divide it. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 25 by 4.
Step 3: 4 goes into 25 six times because 4 × 6 = 24.
Step 4: Write 6 in the quotient place and subtract 24 from 25 to get a remainder of 1.
Step 5: Bring down a 0 to make the remainder 10.
Step 6: 4 goes into 10 two times because 4 × 2 = 8.
Step 7: Write 2 in the quotient place next to 6, subtract 8 from 10 to get a remainder of 2.
Step 8: Bring down another 0 to make the remainder 20.
Step 9: 4 goes into 20 five times because 4 × 5 = 20.
Step 10: Write 5 in the quotient place next to 6.2 and subtract 20 from 20 to get a remainder of 0. The division process ends here with no remainder.
Therefore, the answer for 25/4 as a decimal is 6.25.