Ordering Fractions Calculator From Smallest to Largest (Support Mixed Fractions)

Welcome to the ordering fractions calculator, where you can sort fractions from smallest to largest or largest to smallest in seconds. Fractions can be proper fractions, improper or mixed fractions.

he sorting of fractions is different from integers because fractions include numerators and denominators. Therefore, when sorting fractions, it is necessary to judge the numerator and denominator. The main rules are:

1. When the denominator is the same, the numerator is larger, the fraction will be larger. Such as, 23 > 13

2. When the numerator is the same, the larger of the denominator, the smaller the fraction. For example, 12 > 13

3. When the denominators are different, you must reduction of fractions to a common denominator first. Then, compare them according to the principle of 1.

Apart from that, there is another way. Since fractions and decimals can be converted to each other, there is a one-to-one correspondence between them. So, when ordering fractions, you can convert fractions into decimals first, and then sort them.

For example, sort 12, 14 and 38 from largest to smallest

First, convert fractions into decimals

12 = 0.5

14 = 0.25

38 = 0.375

Second, sort the decimals.

0.5 > 0.375 > 0.25

Finally, get a sorted answer from largest to smallest

12 > 38 > 14

Whether converted to the same denominator or decimals, manual calculations are more troublesome. Therefore, we have developed this online free ordering fractions calculator, which not only saves the tedious calculation process, but also displays 2 sorting results at the same time: from smallest to largest and from largest to smallest. Let’s look at how the calculator is used.

As we all know, fractions include proper fractions, improper fractions and mixed fractions. So in order to support the calculation of mixed fractions, we specially reserved the whole number input field when designing this calculator. If it is a mixed fraction, enter the whole number part, numerator and denominator into the corresponding input boxes. If it is a proper fraction or an improper fraction, just enter the numerator and denominator, leaving the whole number input box blank.

At the same time, this calculator supports the sorting of integers or decimals. Input the integers or decimals into the whole number input box without entering the numerator and denominator. In this way, you can sort fractions, integers and decimals at one time.

The ordering fractions calculator displays only 3 scores by default. If you want to sort more fractions, click “add more fractions“. Once all data are entered, click the Calculate button to get the sorting results. Press the Reset button to prepare for another sort.

Next, let’s take a few examples to see how this calculator is used.