Fraction in Containers

Fractions are method of writing numbers that are not  whole numbers. Some fractions are written as  `1/2` ,`16/41` ,`3/2`. Fractions contains of two numbers, numerator and denominator. In the general form,

Numerator
Fraction = ----------------
Denominator

Where, numerator is at  top and denominator on the bottom.

For example,

In the fraction `2/3` , 2 is numerator and 3 is denominator. Now we see the problems for solving a fractions.


Conditions for fractions:

Some of the conditions are there for fraction addition and subtraction is given as,

To add the fractions the denominator must be same, then the numerators can is counted directly as same as numbers.

If the fractions the denominator is not same means, make them same number by multiplying and dividing by same scale factor.

Fraction subtraction is similar to the fraction addition. Let us see some of example problems using containers with same denominator and various denominators in detail and the example problems for containers fractions for better understand.

Example Problems for fraction in containers:

Example 1:

Find the total amount of water in containers; two containers are filled with one half of water and other containers have the capacity of eight liter in which four liter is filled.

Solution:

In first containers water filled is one half i.e `1/2.`

In second containers water filled is 4litre of total 8 liter capacity i.e `4/8`

The fractions are `1/2` and `4/8`

`4/8` can also be written as `1/2` (divide my 2 on both numerator and denominator.)

Total amount of water = `1/2 + 1/2`

= `(1+1)/2`

= `2/2`

= `1/1`

= 1

Example 2:

Find the total amount of water in containers; two containers are filled with one half of water and other containers have the capacity of eight liter in which six liter is filled.

Solution:

In first containers water filled is one half i.e `1/2.`

In second containers water filled is 4litre of total 8 liter capacity i.e `6/8`

The fractions are `1/2 ` and `6/8`

Total amount of water =` 1/2 + 6/8`

= `1/2 * 4/4 + 6/8`

= `4/8 + 6/8`

= `(4+ 6)/8`

= `10/8`

= `5/4`


Example 3:

Find the total amount of water in containers; two containers are filled with one half of water and other containers have the capacity of three liter in which one liter is filled.

Solution:

In first containers water filled is one half i.e `1/2.`

In second containers water filled is 4litre of total 8 liter capacity i.e `1/3`

The fractions are `1/2` and `1/3`

Total amount of water = `1/2 + 1/3`

= `1/2 * 3/3 + 1/3 * 2/2`

= `3/6 + 2/6`

= `5/6`