Doing Fractions Online

Introduction for Fractions:

A fraction (from the Latin fractus, broken) is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (½, ?, ¾, etc.) and which consist of a numerator and a denominator.

Source – Wikipedia.


Doing Fractions Online for Addition:


The followings are some of the examples in addition for fractions online.

Add the fractions: `3/8 + 4/8` .

Solution:

= `3/8+4/8`

= `(3+4)/8`

= `7/8`

Add the fractions: `2/6+3/4`

Solution:

In this the denominators are different in them.

Then we have to find a LCM for these denominators.

The LCM of 6, 4 = 24

So `(2*6)/(6*4)` = `12/24`

`(3*6)/(4*6)` = `18/24`

In this the denominators are equal so we can add the numerator in the fractions.

=`12/24 ` + `18/24`

=`(12+18)/24`

=`30/24` is the answer.

Add the fractions: `4/3+5/2`

Solution:

In this the denominators are different in them.

Then we have to find a LCM for these denominators.

The LCM of 3, 2 = 6

So `(4*2)/(3*2)` = `8/6`

`(5*3)/(2*3)` = `15/6`

In this the denominators are equal so we can add the numerator in the fractions.

=`8/6 ` + `15/6`

=`(15+8)/6`

=`23/6` is the answer.


Doing Fractions Online for Subtraction:


The followings are some of the examples in subtraction for fractions online.

Subtract the fractions:  `3/8-4/8` .

Solution:

= `3/8-4/8`

= `(3-4)/8`

= `-1/8`

Subtract the fractions: `3/4-2/5` .

Solution:

In this the denominators are different in them.

Then we have to find a LCM for these denominators.

The LCM of 4, 5 = 20

So `(3*5)/(4*5)` = `15/20`

`(2*4)/(5*4)` = `8/20`

In this the denominators are equal so we can add the numerator in the fractions.

=`15/20-8/20`

=`(15-8)/20`

=`7/20` is the answer.

Subtract the fractions: `2/6-3/4` .

Solution:

In this the denominators are different in them.

Then we have to find a LCM for these denominators.

The LCM of 6, 4 = 24

So `(2* 6)/(6*4)` = `12/24`

`(3*6)/(4*6)` = `18/24`

In this the denominators are equal so we can add the numerator in the fractions.

=`12/24-18/24`

=`(12-18)/24`

=`-6/24` is the answer.

These are the examples on doing fractions online.

Mixed Numerals Fractions

Introduction :

Mixed numerals fractions is numbers can be the mixture of a whole and a part. Mixed numerals fractions are obtained by dividing the numerator by the denominator in an improper fraction to get the quotient and the remainder. Three types of fractions such as Improper fractions, proper fractions and mixed numerals fractions. Mixed fractions used to combine two or more fraction numbers. This article we are discussing about mixed numerals fractions. The mixed numerals fractions look like as,

                                                                 Remainder

                                                  Quotient    --------------

                                                                    Divisor

Examples Problem for Mixed Numerals Fractions:

Solve mixed fraction of given two mixed numerals fractions, [`6 8/4` ] + [`3 6/2` ], using addition method.

    Solution:

    Given mixed numerals fractions is,

    The problem here is to add [6 8/4] and [3 6/2]

    These two mixed numbers do not have the same denominators or lower numbers, so we must first find a common denominator of the two mixed numbers, earlier than adding them together. For the denominators here, the 4 and 2, a common denominator for both is 8.

    With the common denominator, the [6 8/4] becomes a [6 8/4] and the [3 6/2] becomes a [3 12/4]

    So now our addition problem becomes this,

    The problem here is to add [6 8/4] and [3 6/4]

                                                       = [`6 8/4` ] + [`3 6/4` ]

    The two mixed numbers having the same denominators.

    We can add them jointly by simply adding the numerators (the 8 and 6 = 14).

    It has the same denominator (the 4).

    And, we just add the number parts, or add the quotient 6 + 3 = 9.

                                                          = (6 + 3) (8+6)/ (4)

                                                          = [`9 14/4` ]

                                         Answer is: [`9 14/4` ].

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One more Examples Problem for Mixed Numerals Fractions:

Solve mixed fraction of given two mixed numerals fractions, [`2 50/2` ] + [`6 25/1` ], using addition method.

    Solution:

    Given mixed numerals fractions is,

    The problem here is to add [2 50/2] and [6 25/1]

    These mixed numerals fractions do not have the same denominators or lower numbers, so we must first find a common denominator of the two mixed numerals fractions, earlier than adding them together. Used for the denominators here, 2 and 1, a common denominator for both is 2.

    With the common denominator, the [2 50/2] becomes a [2 50/2] and the [6 2/1] becomes a [6 50/2]

    So now our addition problem becomes this,

    The problem here is to add [2 50/2] and [6 50/2]

                                                       = [`2 50/2` ] + [`6 50/2` ]

    The two mixed numerals fractions having the same denominators.

    We can add them jointly by simply adding the numerators (the 50 and 50 = 100).

    It has the same denominator (the 2).

    And, we just add the number parts, or add the quotient 2 + 6 = 8.

                                                          = (2 + 6) (50+50)/ (2)

                                                                            = [`8 100/2` ]

                                                           Answer is: [`8 100/2` ].
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