Table Of Contents
Last updated on March 29th, 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, 3, 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 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.
3/15 in decimals can be written as 0.2. It is a terminating decimal, indicating that it does not repeat infinitely.
To convert 3/15 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (3) will be taken as the dividend, and the denominator (15) will be taken as the divisor.
Step 2: Divide 3 by 15. As 3 is smaller than 15, we take the help of decimals. We add a decimal point in the quotient place and add zeros to the dividend.
Step 3: We first consider 30 (by adding a zero to 3), and divide it by 15.
Step 4: 15 goes into 30 exactly 2 times. We write 2 in the quotient place.
Step 5: Subtract 30 from 30, which gives 0. As there is no remainder and the division ends here, it is a terminating decimal.
The answer for 3/15 as a decimal is 0.2.