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Last updated on March 13th, 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 10. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
27/10 in decimals can be written as 2.7. It is a terminating decimal, meaning it ends after one decimal place.
To get 27/10 in decimal, we will use the division method. Here, as 27 is larger than 10, we can directly divide without initially adding any decimal points. 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 (10) will be taken as the divisor.
Step 2: Since 27 is larger than 10, we can divide directly. We will divide 27 by 10.
Step 3: 10 goes into 27 two times completely (10 × 2 = 20). We write 2 in the quotient place.
Step 4: Subtract 20 from 27, which gives us a remainder of 7.
Step 5: Bring down a 0 to make the remainder 70 and continue division.
Step 6: 10 goes into 70 exactly seven times (10 × 7 = 70), leaving a remainder of 0, thus completing the division.
The answer for 27/10 as a decimal will be 2.7.