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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 from the whole. It has two parts: the 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 5. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
16/5 in decimals can be written as 3.2. It is a terminating decimal, showing it will not repeat infinitely.
To get 16/5 in decimal, we will use the division method. Here, 16 is larger than 5, so we can divide directly.
Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide 16 by 5. Let's see how many times 5 goes into 16.
Step 3: 5 goes into 16 three times, as 3 × 5 = 15. Write 3 in the quotient place.
Step 4: Subtract 15 from 16, which gives 1 as the remainder.
Step 5: Bring down a 0 to make it 10, and continue dividing.
Step 6: 5 goes into 10 two times, as 2 × 5 = 10. Write 2 in the quotient place.
Step 7: Subtract 10 from 10, which gives 0, indicating the division is complete.
The answer for 16/5 as a decimal will be 3.2.