Question

How do you make an improper fraction for \[1\dfrac{4}{5}\] ?

Answer 1

Hint: This question belongs to the topic of algebra. In this question, first we will get to know about improper fractions. After that, we will get to know about mixed numbers and whole numbers which are present in mixed numbers. After that, for converting the given term in an improper fraction, we will solve the question.

Complete step-by-step solution:
Let us solve this question.
This question has asked us to make an improper fraction for the term\[1\dfrac{4}{5}\]. Or, we can say that we have to convert the mixed number \[1\dfrac{4}{5}\] into an improper fraction.
For converting this mixed number \[1\dfrac{4}{5}\] into an improper fraction, let us first know about the mixed number and improper fraction.
The mixed number is always written in the form of a whole number and a fraction. The mixed can be written as\[a\dfrac{b}{c}\], where ‘a’ is a whole number and ‘b’ is the numerator of the fraction and ‘c’ is the denominator of the fraction. And, the improper fraction is a fraction having a numerator that is greater than the denominator. The mixed number of the form\[a\dfrac{b}{c}\] , (where a is whole number) can also be written in the form of improper fraction as\[\dfrac{a\times c+b}{c}\].
So, we can write the term \[1\dfrac{4}{5}\] which is a mixed number can also be written in form of improper fraction as \[\dfrac{1\times 5+4}{5}=\dfrac{9}{5}\]
So, we can say that the improper fraction for \[1\dfrac{4}{5}\] will be\[\dfrac{9}{5}\].

Note: This question is from the algebra so that we should have a better knowledge in the topic algebra. We should know about mixed numbers and improper fractions. From the mixed numbers, we just have to multiply the number that is in the denominator of the fraction with the number that is not the fraction and after that we will add that multiplied numbers with the number which is in the numerator of the fraction. The added term will be the numerator for the improper fraction and for the denominator of the improper fraction, it will be the same as the denominator of the fraction from the mixed number.