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Last updated on April 2nd, 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 (the number on the top) here, 48, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 99. A decimal is a way to represent a 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.
48/99 in decimals can be written as 0.484848... It is a recurring decimal, showing that it will repeat the same sequence of digits infinitely.
To get 48/99 in decimal, we will use the division method. Let's break down the process step by step.
Step 1: Identify the numerator and denominator because the numerator (48) will be taken as the dividend and the denominator (99) will be taken as the divisor.
Step 2: As 48 is smaller than 99, it can't be divided without using decimals. We add a decimal point in the quotient and 0 to the dividend, making it 480.
Step 3: Now that it is 480, we can divide it by 99. Let's see how many times 99 fits into 480.
Step 4: 99 × 4 = 396, which is less than 480. We write 4 in the quotient place and subtract 396 from 480, giving us 84.
Step 5: Bring down another 0 in the dividend place, making it 840. Now, divide 840 by 99.
Step 6: 99 × 8 = 792, which is less than 840. We write 8 in the quotient place and subtract 792 from 840, giving us 48.
Step 7: Repeat the process from Step 2 with the remainder 48. This process repeats indefinitely, hence it is a recurring decimal.
The answer for 48/99 as a decimal will be 0.484848...