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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 22, which represents how many parts out of the whole are being considered, and the denominator (the number below), here 55, which shows how many parts make the whole. 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.
22/55 in decimal form can be written as 0.4. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 22/55 into a decimal, we will use the division method. Since 22 is smaller than 55, we will use the decimal method, which will give us 0.4. 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 (55) will be taken as the divisor.
Step 2: As 22 is smaller than 55, it can't be divided directly, so we will add a decimal point to the quotient and a zero to the dividend, making it 220.
Step 3: Now that it is 220, we can divide it by 55. Let's see how many times 55 fits into 220.
Step 4: 220 is a multiple of 55, so 55 × 4 = 220.
Step 5: Write 4 in the quotient place and subtract 220 from 220, which gives 0. The process ends here as the remainder is 0. This is called a terminating decimal.
The answer for 22/55 as a decimal is 0.4.