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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) and the denominator (the number below). Here, 300 is the numerator, and 8 is the denominator, indicating that we are dividing 300 into 8 parts. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.
300/8 as a decimal can be written as 37.5. It is a terminating decimal, indicating that the division results in a finite number of digits after the decimal point.
To convert 300/8 into a decimal, we will use the division method. Since 300 is larger than 8, we can directly divide it without initially using a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (300) will be taken as the dividend, and the denominator (8) will be taken as the divisor.
Step 2: Divide 300 by 8. Let's see how many times 8 fits into 300.
Step 3: 8 goes into 30 three times (3 × 8 = 24), leaving a remainder of 6.
Step 4: Bring down the next digit (0) to make it 60. 8 goes into 60 seven times (7 × 8 = 56), leaving a remainder of 4.
Step 5: Bring down another 0 to make it 40. 8 goes into 40 five times (5 × 8 = 40), leaving no remainder.
The division process ends here with no remainder, and the answer for 300/8 as a decimal is 37.5.