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 (number on the top) here, 14 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 15. 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.
14/15 in decimals can be written as 0.9333... It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 14/15 in decimal, we will use the division method. Here as 14 is smaller than 15, we will take the help of the decimal method, which will give us 0.9333.
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 (15) will be taken as the divisor.
Step 2: As 14 is smaller than 15, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 14 as 140 and add a decimal point in the quotient place.
Step 3: Now that it is 140, we can divide it by 15. Let's see how many times 15 makes 140.
Step 4: 140 is not a multiple of 15, so we will look for the nearest number that is 15 × 9 = 135. We will write 9 in the quotient place and subtract 135 from 140, which gives 5.
Step 5: Bring down another 0 in the dividend place and make 5 as 50, then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 14/15 as a decimal will be 0.9333...