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Last updated on March 17th, 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: numerator (number on the top) here, 16 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent the 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.
16/22 in decimals can be written as approximately 0.727272... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.
To get 16/22 in decimal, we will use the division method. Here, since 16 is smaller than 22, we will take the help of the decimal method which will give us 0.727272.... Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (22) will be taken as the divisor.
Step 2: As 16 is smaller than 22, it can't be divided directly, so we will add a decimal point in the quotient and a zero to the dividend to make it 160.
Step 3: 22 goes into 160 seven times because 22 × 7 = 154. Write 7 in the quotient place. Subtract 154 from 160 to get 6.
Step 4: Bring down another 0 to make it 60. 22 goes into 60 two times because 22 × 2 = 44. Write 2 in the quotient place. Subtract 44 from 60 to get 16.
Step 5: Repeat the process by bringing down another 0 to make it 160 again. The division process continues, repeating the cycle. This process is called a recurring decimal.
The answer for 16/22 as a decimal will be approximately 0.727272....