Table Of Contents
Last updated on March 4th, 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, numerator (number on the top) here, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. 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 that to the right represents the fractional part.
7/18 in decimals can be written as 0.38888….. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 7/18 in decimal, we will use division method. Here as 7 is smaller than 18 we will take help of decimal method which will give us 0.3888. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (7) will be taken as dividend and denominator (18) will be taken as divisor.
Step 2: As 7 is smaller than 18, it can't be divided. We will take the help of decimals. We will add 0 to the dividend, which will make 7 as 70 and add a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 18. Let's see how many times 18 makes 70.
Step 4: 70 is not a multiple of 18, so we will look for the nearest number that is 18 × 3 = 54. We will write 3 in the quotient place and subtract 54 from 70 which gives 16.
Step 5: Bring down another 0 in the dividend place and make 16 as 160 and then repeat the division process. The division process continues, we don't get the remainder as 0, this process is called a recurring decimal.
The answer for 7/18 as a decimal will be 0.3888……