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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 27, which represents how many parts out of the whole, and the denominator (number below), here 8, which shows how many parts make up the whole. 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.
27/8 in decimals can be written as 3.375. It is a terminating decimal, meaning it does not repeat indefinitely.
To convert 27/8 into a decimal, we will use the division method.
Step 1: Identify the numerator and denominator. The numerator (27) will be taken as the dividend, and the denominator (8) will be the divisor.
Step 2: Divide 27 by 8.
Step 3: 8 goes into 27 three times (8 × 3 = 24). Write 3 in the quotient place and subtract 24 from 27, which gives 3.
Step 4: Bring down a 0 to make 30.
Step 5: 8 goes into 30 three times (8 × 3 = 24). Write another 3 in the quotient place and subtract 24 from 30, which gives 6.
Step 6: Bring down another 0 to make 60.
Step 7: 8 goes into 60 seven times (8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60, which gives 4.
Step 8: Bring down another 0 to make 40.
Step 9: 8 goes into 40 five times (8 × 5 = 40). Write 5 in the quotient place. Now, the remainder is 0, and the division process ends.
The answer for 27/8 as a decimal will be 3.375.