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Last updated on March 3rd, 2025
This 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 (number on the top) here, 49 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 50. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
49/50 in decimals can be written as 0.98. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 49/50 into a decimal, we will use the division method. Since 49 is smaller than 50, we will use the decimal method which will give us 0.98. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: As 49 is smaller than 50, it can't be divided as is, so we will take the help of decimals. We will add 0 to the dividend, which will make 49 as 490 and add a decimal point in the quotient place.
Step 3: Now that it is 490, we can divide it by 50. Let's see how many times 50 fits into 490.
Step 4: 490 divided by 50 gives 9, since 50 × 9 = 450. We will write 9 in the quotient place and subtract 450 from 490, giving a remainder of 40.
Step 5: Bring down another 0 in the dividend place to make it 400, then divide again.
Step 6: 400 divided by 50 gives 8, since 50 × 8 = 400, leaving no remainder.
This process shows that 49/50 as a decimal is 0.98, which is a terminating decimal.