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Last updated on March 18th, 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: numerator (number on the top) here, 30 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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.
30/8 in decimals can be written as 3.75. It is a terminating decimal, indicating that the decimal representation comes to an end.
To get 30/8 in 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 because the numerator (30) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 30 by 8 to get the whole part of the decimal. 8 goes into 30 three times, which gives us 24. Write 3 in the quotient place.
Step 3: Subtract 24 from 30 to get the remainder 6.
Step 4: Bring down a 0 to make it 60 and continue the division.
Step 5: 8 goes into 60 seven times, which gives us 56. Write 7 in the quotient place next to 3.
Step 6: Subtract 56 from 60 to get the remainder 4.
Step 7: Bring down another 0 to make it 40 and continue the division.
Step 8: 8 goes into 40 five times, which gives us 40. Write 5 in the quotient place next to 37, and the remainder is 0. The division process ends here because we get the remainder as 0.
The answer for 30/8 as a decimal will be 3.75.