What is the decimal form of 100/3 100/5 and 100/6

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given:

100/3, 100/5 and 100/6

Convert the values into their decimal forms.

Solution:

In order to convert the values to decimals, we should divide the numerator using the denominator of the fraction. For the first example, of 100/3, dividing the numerator which 100 by denominator which 3 will give the result of 33.333 (repeating), so this may now be considered as it decimal form. For the second example, dividing the numerator which is 100 by the denominator which is 5 will give a result of 20, which will now be considered as its decimal form. For the last example, dividing the numerator 100 by the denominator which is 6, will give the result of 16.666 (repeating), which will now be considered as its decimal form. To summarize, converting fractions into their decimal form can be performed by dividing the numerator by the denominator.

100/3 = 33.333 (repeating)

100/5 = 20

100/6 = 16.666 (repeating)

The decimal answer is repeating, hence we can write it either with the word repeating enclosed with a parenthesis,  dash line or by the use of ellipsis. In our case, we will put the word repeating enclosed with parenthesis.

Final answer:

  1. 1) 100/3 = 33.333 (repeating)
  2. 2) 100/5 = 20
  3. 3) 100/6 = 16.666 (repeating)