Last updated on May 26th, 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, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 30. 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.
5/30 in decimals can be simplified to 1/6, which is 0.16666…. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 5/30 in decimal, we will first simplify the fraction and then use the division method. The fraction 5/30 simplifies to 1/6 because both the numerator and the denominator can be divided by 5. Let's see the step-by-step breakdown of the process to convert 1/6 into a decimal:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (6) will be taken as the divisor.
Step 2: As 1 is smaller than 6, it can't be divided directly, so we use decimals. We add 0 to the dividend, making it 10, and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 6. Let's see how many times 6 fits into 10.
Step 4: 10 is not a multiple of 6, so we look for the nearest number that is 6 x 1 = 6. We write 1 in the quotient place and subtract 6 from 10, giving 4.
Step 5: Bring down another 0 in the dividend place to make 4 as 40, and then repeat the division process. Continue dividing to get 40 divided by 6.
Step 6: 6 x 6 = 36, so write 6 in the quotient place. Subtract 36 from 40, giving 4. Bring down another 0 to make 40 again. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 5/30 as a decimal is 0.1666…