Solve Math Fractions Problems

Solve math fractions problems:

In this article we are discussing  the solve math fractions problems. A fraction 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 (`1/2` , `5/8` , `3/4` etc.) and which consist of a numerator and a denominator.
(Source – Wikipedia)

Solve math fractions problems is simple addition fraction, multiplication fraction, subtraction fraction and dividing fractions.

Solve Math Fractions Problems-example Problems:

Example 1:

Add the fractions for given two fraction, `3/9` + ` 3/9`

Solution:

The given two fractions are `3/9` + `3/9`

The same denominators of the two fractions, so

= `3/9 ` + `3/9`

Add the numerators the 3 and 3 = 3+3 = 6.

The same denominator is 9.

=` 6/9`

The addition fraction solution is `2/3.`

Example 2:

Subtract the fractions for given two fractions `4/6` - `6/5`

Solution:

The denominator is different so we take a (lcd) least common denominator

LCD = 6 x 5 = 30

So multiply and divide by 5 in first term we get

` (4 xx 5) / (6 xx 5)`

=`20/30`

Multiply and divide by 6 in second terms

= `(6 xx 6) / (5 xx 6)`

= `36/30`

The denominators are equals

So subtracting the numerator directly = `(20-36)/30`

Simplify the above equation we get = `-16/30`

Therefore the final answer is `-8/15`

Example 3:

Multiply the fractions for given two fractions, `4/5` x `5/4`

Solution:

The given two fractions are `4/5` x `5/4`

The multiply numerator and denominators of the two fractions, so

= `4/5` x `5/4`

Multiply the numerators the 4 and 5 = 4 x 5 = 20.

Multiply the denominators the 5 and 4 = 5 x 4= 20

= `20/20`

The multiply fraction solution is 1

Example 4:

Dividing fraction:

`4/3` divides `2/4`

Solution:

First we have to take the reciprocal of the second number

Reciprocal of `2/4 ` = `4/2`

Now we multiply with first term we get

`4/3` x `4/2`

Multiply the numerator and denominator

`(4 xx 4) / (3 xx 2)`

Simplify the above equation we get

= `16/6`

Therefore the final answer is `8/3`.I have recently faced lot of problem while learning Dividing complex numbers, But thank to online resources of math which helped me to learn myself easily on net.

Solve Math Fractions Problems-practice Problems:

Problem 1: Add the two fraction `2/8` +`2/8`

Solution: `1/2`

Problem 2: Subtract two fractions `10/10` – ` 6/10`

Solution: `2/5`

Problem 3: multiply two fractions `3/5` x  `5/5`

Solution: `3/5`

Problem 4: Dividing two fractions `6/3` and `2/4`

Solution: 4