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Last updated on March 20th, 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, 6, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 48. 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.
6/48 in decimals can be written as 0.125. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 6/48 into a decimal, we will use the division method. Here, as 6 is smaller than 48, we will take the help of the decimal method, which will give us 0.125.
Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (48) will be taken as the divisor.
Step 2: As 6 is smaller than 48, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making it a multiple of 10, and add a decimal point in the quotient place.
Step 3: Now that it is 60, we can divide it by 48. Let's see how many times 48 fits into 60.
Step 4: 48 goes into 60 once, so we write 1 in the quotient place and subtract 48 from 60, which gives 12.
Step 5: Bring down another 0 in the dividend place, making it 120, and then repeat the division process.
Step 6: 48 goes into 120 twice, so we write 2 in the quotient place and subtract 96 from 120, which gives 24.
Step 7: Bring down another 0, making it 240, and repeat the division.
Step 8: 48 goes into 240 five times exactly, so we write 5 in the quotient place, and the division is complete.
The answer for 6/48 as a decimal will be 0.125.