Question

What is the decimal equivalent of \[\dfrac{{23}}{9}\]?

Answer 1

Hint: A fraction is known as a unit fraction, when the numerator is equal to 1. Decimals are a set of numbers written together with a dot in between them that is called a decimal point. Here, we are given a fraction and we need to find the decimal of it. To find the decimal of a fraction, you need to divide the number on top which we called the numerator by the number at the bottom which we called the denominator. Thus, by using this, we will get the final output.

Complete step by step answer:
Given that, \[\dfrac{{23}}{9}\]. A fractions are defined as the parts of a whole. The whole can be a number or any specific value or a thing. In other words, it is also termed as a portion or section of any quantity. It is denoted by using ‘/’ symbols, such as \[\dfrac{a}{b}\] where ‘a’ is the numerator and ‘b’ is the denominator.

Thus, to find \[\dfrac{{23}}{9}\] as a decimal you have to divide the numerator by the denominator of the fraction. So, we divide now 23 by 9 what we write down as \[\dfrac{{23}}{9}\] and we get \[2.5555555555556\]. Convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal. This means \[\dfrac{{23}}{9} = 2.5\].

Hence, the decimal equivalent to \[\dfrac{{23}}{9} = 2.5\].

Note: A fraction or a mixed number in which the denominator is a power of 10 such as 10, 100, 1000, etc. usually expressed by use of the decimal point is termed as Decimal Fraction. You can write decimal fractions with a decimal point and no denominator, which make it easier to do calculations like addition, subtraction, division, and multiplication on fractions. A decimal number system is used to express the whole number and fraction together. Here, we will separate the whole number from the fraction by inserting a ".", which is called a decimal point.