How do you write decimal notation for $\dfrac{5}{6}$ ?
Answer
622.5k+ views
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 $0.8\bar{3}$.
Hence, the decimal form of $\dfrac{5}{6}$ is $0.8\bar{3}$.
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.
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 $0.8\bar{3}$.
Hence, the decimal form of $\dfrac{5}{6}$ is $0.8\bar{3}$.
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.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

What is the full form of pH?

What is pollution? How many types of pollution? Define it

On an outline map of India show its neighbouring c class 9 social science CBSE


