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Last updated on March 17th, 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, 12, which 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 the number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
12/48 in decimals can be written as 0.25. It is a terminating decimal, showing it ends and does not repeat infinitely.
To get 12/48 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 (12) will be taken as the dividend and the denominator (48) will be taken as the divisor.
Step 2: Divide 12 by 48. Since 12 is smaller than 48, we will place a decimal point in the quotient and add a zero to the dividend, making it 120.
Step 3: Now divide 120 by 48. Determine how many times 48 fits into 120.
Step 4: 48 × 2 = 96, and 48 × 3 = 144. Since 144 is greater than 120, we use 2. Write 2 in the quotient place.
Step 5: Subtract 96 from 120, which gives us 24. Bring down another 0 to make it 240.
Step 6: Now divide 240 by 48. 48 × 5 = 240, so write 5 in the quotient place.
Step 7: Subtract 240 from 240, resulting in a remainder of 0. Since there is no remainder, the division ends here.
The answer for 12/48 as a decimal is 0.25.