Ordering Fractions Calculator

Fractions :

A certain part of the whole is called as fractions. The fractions can be denoted as `a/b` , Where a, b are integers. We can multiply two or more fractions.

Calculator :

The device that used to get an output by giving proper input is known as calculator.

ordering fraction calculator

By using the Ordering Fractions calculator we can order the given fraction form least to greater or greater to least.  Let us see some problems on ordering fractions calculator.

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Steps involved in ordering fractions:

The following steps are used to order the fractions.

Step 1 :   Rewrite the given input as the fraction if its needed.

Step 2:   Find the least common denominator for the following fractions.

Step 3:  Then rewrite the given fraction with the least common denominator.

Step 4:  Order the fractions by using the numerator.

By using the above steps we can get the order of the given fractions.

Problems on ordering fractions calculator :

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Problem 1 :

Ordering the following fractions `3/4 , 89 / 67 , 65 , 90 / 156 , 23 / 45`

Solution :

Given , `3/4 , 89 / 67 , 65 , 90 / 156 , 23 / 45`

We need to ordering the given fractions,

Step 1:  Rewrite the given input as the fraction if its needed.

` 3/4, 89/67, 65/1, 90/156, 23/45`

Step 2: Find the least common denominator for the following fractions.

The least common denominator (LCD) is: 156780.

Step 3:  Then rewrite the given fraction with the least common denominator

` 117585/156780, 208260/156780, 10190700/156780, 90450/156780, 80132/156780`

Step 4: Order the fractions by using the numerator.

`80132/156780`   <  `90450/156780`  <  `117585/156780`  <  `208260/156780`   <  `10190700/156780`

Answer: least to greater : `23/45`  < `90/156`   <  `3/4`   <  `89/67`   <  65

Greater to least : 65  >  `89/67`   > `3/4`   >  `90/156`   >  `23/45`

Problem 2:

Ordering the following fractions `-5/6` ,` -12/5` , `4/9` ,  `- 4/9`

Solution:

Given , ` -5/6` , `-12/5 ` , `4/9` ,  `- 4/9`

Step 1:  Rewrite the given input as the fraction if its needed.

` -5/6` , `-12/5` ,` 4/9` , ` - 4/9 `

Step 2: Find the least common denominator for the following fractions.

The least common denominator (LCD) is: 90

Step 3:  Then rewrite the given fraction with the least common denominator

` -75/90, -216/90, 40/90, -40/90`

Step 4: Order the fractions by using the numerator.

`-216/90` <  `-75/90`   < `-40/90`   <  `40/90`

Answer: least to greater : ` -12/5`   <  `-5/6`   <  `-4/9`   <  `4/9`

Greater to least : 4/9  >  -4/9  >  -5/6  >  -12/5