Question

Write a fraction for the following:
Eight - ninths

Answer 1

Hint: We have to go with the literal meaning of the word. In terms of example, if you have nice parts of some object and you take eight parts of it. Then you can say that you have eight-ninths of that object.

Complete step-by-step answer:
A fraction is a ratio of two integers. They could be any two integers, but the integer in the denominator cannot be zero.
You can also observe it with an example. Draw a figure. Make nine equal parts of it. Then shade eight parts. Then the shaded region will represent eight-ninths.
While multiplying a fraction with an integer, we simply multiply the integer with the numerator of the fraction. Like with multiplied 8 with 1 in this example. But division of an integer with fraction or division of fraction with fraction can be tricky.
We need to convert the literal meaning into mathematical expression.
The word, eight-ninths means eight times ninths
Mathematically, it can be written as
 $ \Rightarrow \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} + \dfrac{1}{9} $
 $ = 8 \times \dfrac{1}{9} $
 $ = \dfrac{8}{9} $
Therefore, eight-ninths can be written in terms of fractions as $ \dfrac{8}{9} $

Note: You can also see it as eight parts out of nine parts. Consider nine as a whole. And then think about taking eight parts from it. Then what you will have will be eight-ninths of the whole part. If the whole is of four parts and you take three parts of it then it will be called three-fourths of the part.