Question

How do you write decimal notation for ${\displaystyle \frac{5}{6}}$ ?

Answer 1

Hint: The decimal representation of a fraction is a number in which the whole part and the fraction part of the fraction is separated by a point called decimal point. To convert a fraction into a decimal number we simply go on dividing the numerator by the denominator of the fraction until the remainder is zero.

Complete step by step solution:
Let us first understand what is a fraction. Fraction is a number used to represent the part of a whole. A fraction is also called a rational number. A rational number is a ratio of two integers provided that the denominator of the ratio is not equal to zero. Let us now understand what is a decimal representation of a fraction.The decimal representation of a fraction is a number in which the whole part and the fraction part of the fraction is separated by a point called decimal point.

Every fraction can be expressed in the form a decimal number. To convert a fraction into a decimal number we simply go on dividing the numerator by the denominator of the fraction until the remainder is zero. When we cannot further divide, we put a zero on the right side of the remainder and put a decimal point in the quotient. Therefore, if we divide 5 by 6 we will get a quotient as $0.83333333$. We observe that we cannot obtain a zero as remainder and the number 3 recurs in the quotient. Therefore, we write the decimal number as $0.8\overline{3}$.

Hence, the decimal form of ${\displaystyle \frac{5}{6}}$ is $0.8\overline{3}$.

Note: Sometimes the given fraction can be mixed fraction. Mixed fraction is the representation of a number by a whole number and the remaining fraction.To convert a mixed fraction into a decimal number we must first convert the mixed fraction into a proper fraction.