Last updated on May 26th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 27 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.
27/7 in decimals can be written as 3.85714….. It is a non-terminating decimal, showing that the digits after the decimal point will not repeat infinitely.
To get 27/7 in decimal, we will use the division method. Here, since 27 is larger than 7, we can directly perform the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (27) will be taken as the dividend, and the denominator (7) will be taken as the divisor.
Step 2: Since 27 is larger than 7, we divide 27 by 7.
Step 3: 7 goes into 27 three times, because 3 × 7 = 21. Write 3 in the quotient place and subtract 21 from 27, which gives 6.
Step 4: Bring down a 0 to make it 60 and divide by 7.
Step 5: 7 goes into 60 eight times, because 8 × 7 = 56. Write 8 in the quotient place and subtract 56 from 60, which gives 4.
Step 6: Bring down another 0 to make it 40 and divide by 7.
Step 7: 7 goes into 40 five times, because 5 × 7 = 35. Write 5 in the quotient place and subtract 35 from 40, which gives 5. This division process continues, and we do not get the remainder as 0, resulting in a non-terminating decimal.
The answer for 27/7 as a decimal will be approximately 3.85714……