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Last updated on March 3rd, 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: numerator (number on the top) here, 22 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. 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.
22/25 in decimals can be written as 0.88. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 22/25 in decimal, we will use the division method. Here, as 22 is smaller than 25, we will use the decimal method, which will give us 0.88. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (25) will be taken as the divisor.
Step 2: As 22 is smaller than 25, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 22 become 220, and add a decimal point in the quotient place.
Step 3: Now that it is 220, we can divide it by 25. Let's see how many times 25 makes 220.
Step 4: 220 is not a multiple of 25, so we will look for the nearest number. 25 × 8 = 200. We will write 8 in the quotient place and subtract 200 from 220, which gives 20.
Step 5: Bring down another 0 in the dividend place, making 20 become 200, and then repeat the division process.
Step 6: 25 × 8 = 200, so we write 8 in the quotient place, and subtracting 200 from 200 gives 0. The remainder is 0, ending the division process.
The answer for 22/25 as a decimal is 0.88.