Table Of Contents
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 from the whole. It has two parts: the numerator (the number on the top), here 33, representing how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 25. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
33/25 in decimals can be written as 1.32. It is a terminating decimal, which means it does not repeat infinitely.
To convert 33/25 into a decimal, we will use the division method. Here, since 33 is larger than 25, we will directly divide. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (33) will be taken as the dividend and the denominator (25) will be taken as the divisor.
Step 2: Divide 33 by 25. Since 33 is larger than 25, we do not need to use additional decimal points initially.
Step 3: Calculate how many times 25 fits into 33. The answer is 1 whole time, so we write 1 in the quotient place.
Step 4: Subtract 25 from 33, which gives us a remainder of 8.
Step 5: Bring down a 0 to make the remainder 80. Divide 80 by 25, which goes 3 times, so write 3 in the quotient place after the decimal point.
Step 6: Subtract 75 (3 times 25) from 80, leaving a remainder of 5.
Step 7: Bring down another 0 to make it 50, divide by 25, and it goes 2 times exactly, leaving no remainder.
The answer for 33/25 as a decimal is 1.32.