Fraction Variable Solver

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.


Fraction variable solver for Addition:

Variable Solver:

A variable solver is the way of thinker that refers to give proper solutions or values for the given fractions problems.

The following are some of the examples for Fraction variable solver in addition.

Simplify the fraction: `(3x)/7+(5x)/6`

Solution:

=` (3x)/7+(5x)/6`

The LCD for the denominators 7 and 6 is 42.

= `(6*3x)/42+(7*5x)/42`

We can express the denominators in the LCD form as

= `(18x)/42+(35x)/42`

We can simplify the numerators.

= `(18x+35x)/42`

Then by adding the numerators.

= `(53x)/42`

Simplify: `(3x)/5+(5x)/3`

Solution:

= `(3x)/5+(5x)/3`

The LCD for the denominators 5 and 3 is 15.

= `(3*3x)/15+(5*5x)/15`

We can express the denominators in the LCD form as

= `(9x)/15+(25x)/15`

We can simplify the numerators.

= `(9x+25x)/15`

Then by adding the numerators.

= `(34x)/15`

Simplify: `(2x)/5+(7x)/6`

Solution:

= `(2x)/5+(7x)/6`

The LCD for the denominators 5 and 6 is 30.

= `(6*2x)/30+(5*7x)/30`

We can express the denominators in the LCD form as

= `(12x)/30+(35x)/30`

We can simplify the numerators.

= `(12x+35x)/30`

Then by adding the numerators.

= `(47x)/30`

Fraction variable solver for Subtraction:

The following are some of the examples for Fraction variable solver in subtraction.

Simplify the fraction: `(6x+3)/12-(4x+5)/8`

Solution:

= `(6x+3)/12-(4x+5)/8`

The LCD for the denominators 12 and 8 is 24.

= `(2(6x+3))/24-(3(4x+5))/24`

We can express the denominators in the LCD form as

= `(12x+6-12x-15)/24`

We can simplify the numerators.

= `(x-9)/24`

Simplify: `(2x+3)/6-(6x+5)/5`

Solution:

= `(2x+3)/6-(6x+5)/5`

The LCD for the denominators 5 and 6 is 30.

= `(5(2x+3))/30-(6(6x+5))/30`

We can express the denominators in the LCD form as

= `(10x+15-36x-30)/30`

We can simplify the numerators.

= `(-26x-15)/30`

Simplify: `(8x+3)/12-(3x+5)/8`

Solution:

= `(8x+3)/12-(3x+5)/8`


The LCD for the denominators 12 and 8 is 24.

= `(2(8x+3)) /24-(3(3x+5)) /24`

We can express the denominators in the LCD form as

= ` (16x+6-9x-15)/24`

We can simplify the numerators.

= `(7x-9)/24`