Comparison of Fractions

In the fractions introduction blog, we have discussed the Basics of Fractions, their Types, Simplification methods. In this blog, we are here with the short tricks that will ease your problems and will help you solve the questions in seconds.

Comparing Fractions is an easy task with small numbers but it becomes a difficult and lengthy task to compare fractions with large numbers. Following is a trick that will make your task easy to compare the fractions with any sort of numbers.

The question asked above is very common in competitive exams. You might be asked to arrange given fractions in ascending or descending order. These kinds of questions can be solved with a simple trick discussed below.

Solve the following questions using the above trick:

$\frac { 25 }{ 27 } \Box \frac { 24 }{ 26 }$

$\frac { 17 }{ 20 } \Box \frac { 19 }{ 22 }$

$\frac { 54 }{ 59 } \Box \frac { 53 }{ 56 }$

Answers: (>), (<), (<).

Sometimes you might come across fractions which are not as straight forward as p/q. For example, can you compare the following two fractions $\frac { \frac { a }{ b } }{ c } \quad and\quad \frac { a }{ \frac { b }{ c } }$. Are these two fractions equal?

These two fractions given above are not equal. Following is the explanation.