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`


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