A simple problem on ratio's

Topic:- Ratio's

If we wish to divide a amount or a number based on specific parts we use ratios.This will help us to share the values to different people in different quantities.

Here is an example which explain this better.

Question:-

How to share 35 between two people with the ration of 1:6

Answer:-

The given ratio is 1:6

The sum of the ratios is 1+6=7

Let us assume it is divided between A and B

    1
A= ----- * 35
    7

  35
= -----
  7

=  5

    6
B= ----- * 35
    7

   210
= -------
    7

So A gets 5 and b gets 30

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Problem on Mixed fractions

Topic:-Mixed fractions

A fraction is a number that can represent part of a whole.
The earliest fractions were reciprocals of integers, symbols representing one half, one third, one quarter, and so on.A much later development were the common or vulgar fractions which are still used today, and which consist of a numerator and a denominator.

In this algebra help ,we are giving an example of mixed fraction problem.
Topic:- Mixed Fractions
Question:-

 
 
  3      10
8--- - 4---- = ? 
  5      15


Answer:-

  3      10
8--- - 4---- = ? 
  5      15

(5*8)+3      (15*4)+10
--------  -  ----------
  5              15

 43          70
------  -  ------- 
  5          15

Multiply the numarator and the 
denominator of the first fraction 
with 3 to make equal denomitors 


   43*3         70
 -------  -   ------
   5*3          15

 
    129       70
   -----  -  -----
    15        15

      129-70
    -----------
        15

          59        14
         ----  or 3------
          15        15

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