Question

Arrange the following fractions in the ascending order:
\[\dfrac{7}{8},\dfrac{7}{{25}},\dfrac{7}{{11}},\dfrac{7}{{18}},\dfrac{7}{{10}}\]

Answer 1

Hint: In this question, first of all, observe the fractions and identify the similarity between them. For the same numerator fractions, the value of the fraction is more when the denominator is having less value. So, use this concept to reach the solution to the given problem.

Complete step-by-step solution:
Given fractions are \[\dfrac{7}{8},\dfrac{7}{{25}},\dfrac{7}{{11}},\dfrac{7}{{18}},\dfrac{7}{{10}}\]
Here we can observe that all the numerators of the five fractions are the same. Hence these fractions are the same numerator fractions.
As we know, for the same numerator fractions the value of the fraction is more when the denominator is having less value.
Here the values of the denominators are \[8,25,11,18,10\]
Now, we have \[25 > 18 > 11 > 10 > 8\]
Since these are the same numerator fraction, ascending order of the fractions is given by the fractions having lesser value in the denominator.

Therefore, the ascending order of the given fractions is \[\dfrac{7}{{25}} < \dfrac{7}{{18}} < \dfrac{7}{{11}} < \dfrac{7}{{10}} < \dfrac{7}{8}\]

Note: A fraction represents a part of a whole or, more generally, any number of equal parts. Arranging the fractions in ascending order means arranging them in the increasing order of their value. While arranging the fractions in descending order means arranging them in decreasing order of their values.