Question

What is $ 1\dfrac{8}{9} $ as a decimal?

Answer 1

Hint: The number given in the question is what is called to be as the mixed fraction in mathematical terms. The mixed fraction is solved by first multiplying the number which is on the left hand side of the fraction which in this case can be seen as $ 1 $ to the number which is in the denominator of the given fraction which in this case can be seen to be as the $ 9 $ . The resulting number from the operation is then added to the numerator of the fraction which in this case can be seen as $ 8 $ the resulting number after all these operations will be the numerator of the fraction. The numerator will then be divided by the denominator to get the number in the decimal form which the above question requires.

Complete step by step solution:
First we will solve the given mixed fraction ,
 $ 1\dfrac{8}{9} = \dfrac{{1 \times 9 + 8}}{9} $
Upon solving the above expression further,
 $ 1\dfrac{8}{9} = \dfrac{{17}}{9} $
Which gives us the value in proper fraction. But since we need the number in the form of a decimal we will divide the numerator by the denominator and get our final answer.
The number $ 17 $ on division by $ 9 $ gives
 $ 0.2099 $ Correct to four places of decimal.
So, the correct answer is “ $ 0.2099 $ ”.

Note: The decimal above is found out to the precision of four places of decimal , had the question asked for more places of decimal or the less places of decimal we would have rounded off the decimal points or solved the fraction further to get more points on the decimal.