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Last updated on March 4th, 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 11, representing how many parts out of the whole. The denominator (the 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 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.
11/50 in decimals can be written as 0.22. It is a terminating decimal, meaning it does not repeat infinitely.
To get 11/50 in decimal, we will use the division method. Since 11 is smaller than 50, we will use the decimal method to find the quotient. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: As 11 is smaller than 50, it can't be divided directly; here, we will use decimals. We will add 0 to the dividend, making 11 into 110, and add a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 50. Let's see how many times 50 goes into 110.
Step 4: 110 is not a multiple of 50, so we will look for the nearest number. 50 × 2 = 100. We will write 2 in the quotient place and subtract 100 from 110, giving us 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process.
Step 6: 50 goes into 100 exactly 2 times. Write 2 in the quotient place. The division process ends here as we get a remainder of 0.
The answer for 11/50 as a decimal will be 0.22.