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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 of the whole. It has two parts: the numerator (number on the top), here 14, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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.
14/5 in decimals can be written as 2.8. It is a terminating decimal, meaning it does not repeat infinitely.
To get 14/5 in decimal, we will use the division method. As 14 is larger than 5, let's divide directly to find the decimal form. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 14 by 5. 5 goes into 14 two times because 5 × 2 = 10.
Step 3: Write 2 in the quotient place. Subtract 10 from 14, which gives 4.
Step 4: Bring down a 0 to make it 40. Now divide 40 by 5, which goes 8 times because 5 × 8 = 40.
Step 5: Write 8 in the quotient place. Subtract 40 from 40, which gives 0. The division process stops here as we get a remainder of 0.
The answer for 14/5 as a decimal is 2.8.