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Last updated on March 4th, 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, 13 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.
13/4 in decimals can be written as 3.25. It is a terminating decimal, showing it ends after a few decimal places.
To get 13/4 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 (13) will be taken as the dividend and the denominator (4) will be taken as the divisor.
Step 2: Divide 13 by 4. 4 goes into 13 three times, as 4 × 3 = 12. Write 3 in the quotient place.
Step 3: Subtract 12 from 13, which gives us 1 as the remainder.
Step 4: Bring down a 0 to make it 10.
Step 5: Divide 10 by 4. 4 goes into 10 two times, as 4 × 2 = 8. Write 2 in the quotient place after the decimal point.
Step 6: Subtract 8 from 10, giving us 2. Bring down another 0 to make it 20.
Step 7: Divide 20 by 4. 4 goes into 20 five times, as 4 × 5 = 20. Write 5 in the quotient place. The division process ends as the remainder becomes 0.
The answer for 13/4 as a decimal will be 3.25.