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Last updated on March 11th, 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: the numerator (number on the top) here, 11 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 44. 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.
11/44 in decimals can be written as 0.25. It is a terminating decimal, showing that it does not repeat infinitely.
To get 11/44 in decimal, we will use the division method. Here, since 11 is smaller than 44, we'll take the help of the decimal method, which will give us 0.25. 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 (44) will be taken as the divisor.
Step 2: As 11 is smaller than 44, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110, and add a decimal point in the quotient place.
Step 3: Now that it is 110, we can divide it by 44. Let's see how many times 44 goes into 110.
Step 4: 44 × 2 = 88. We will write 2 in the quotient place and subtract 88 from 110, which gives 22.
Step 5: Bring down another 0 in the dividend place, making it 220, and then divide by 44 again.
Step 6: 44 × 5 = 220. We write 5 in the quotient place, and subtracting 220 from 220 gives 0. The division process ends here as we get a remainder of 0, indicating a terminating decimal.
The answer for 11/44 as a decimal will be 0.25.