Variable Ratio Example

Introduction of variable ratio example:

In mathematics, a ratio expresses the magnitude of quantities relative to each other. Specifically, the ratio of two quantities indicates how many times the first quantity is contained in the second and may be expressed algebraically as their quotient.

Example:

For every Spoon of sugar, you need 2 spoons of flour (1:2)

Source: Wikipedia

Definition of Variable Ratio Example:

The ration of two numbers U and V (V`!=`0) is the section of the numbers. The numbers U and V are known as the terms of the ratio.

Types of ratio using variable with example:

Compounded ratio-using variable with example

Duplicate ratio-using variable with example

Triplicate ratio-using variable with example

Compounded ratio-using variable with example:

Practice format for compounded numeric ratio is

`P/Q``xx``R/S`=`(P xx R)/(Q xx S)` or `(PR)/(QS)`

Example for compounded ratio using variable:

`X/3``xx``3/2` To find the X variable value

Solution:

`X/3``xx``3/2`=0

`X/3`=`2/3`

X `xx` 3=2 `xx` 3

3X=6

X=`6/3`

X=2

Duplicate ratio-using variable with example:

Practice format for duplicate ratio is

`(P/Q)``xx``(P/Q)`=`(P^2)/(Q^2)`

Example for duplicate ratio using variable:

How to write ratios `D/7``xx``5/7`

Solution:

`D/7``xx``5/7`=0

`D/7`=`7/5`

D `xx` 5= 7 `xx` 7

5D=49

D=`49/5`

D=7

Triplicate ratio-using variable with example:

Practice format for triplicates ratio is

`P/Q``xx``P/Q``xx``P/Q`=`(P xx P xx P)/(Q xx Q xx Q)`=`(P^3)/(Q^3)`

Example for triplicate ratio using variable:

How to write ratios: `X/5``xx``3/5``xx``3/5`

Solution:

`X/5``xx``3/5``xx``3/5`

`(X xx 3 xx 3)/(5 xx 5 xx 5)`

`(9X)/(125)`

9X=125

X=`125/9`

More about Inverse Ratio with Variable Using Example:

It is often want to educated guess the numbers of a ratio in the inverse order. To make this, we simply exchange the numerator and denominator. Therefore, the inverse of 7:127 is 127:7. When the terms of a ratio are proxy are called as the INVERSE RATIO results. Having problem with graphing rational functions keep reading my upcoming posts, i will try to help you.

Example problem for inverse ratio with variable help:

Write inverse ratio form of following ratio.

`11/6`, `41/7`, `133/13`

Solution:

Given ratios are `11/6`, `41/7`, `133/13`

We simply exchange the numerator and denominator value. Then we will get inverse ratios.

`6/11`, `7/41`, `13/133`