Introduction-what are ratios in math:
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 in ratio geometry - what are ratios in math:
When two objects are related to, the geometric ratio of the interval of a come together of linked sides is the identical as the ratio in geometry of any other team of equivalent linear measurements of the two objects. It is known as geometric ratios.
Therefore:
1) Lengths of comparable sides are equal.
2) The ratio in geometry of the interval end to end of any pair of equivalent sides is the identical as the ration of comparable perimeters, altitudes, or medians in.
Concept -what are ratios in math:
The numeric ratio of two numbers x and y(y?0) is the quotient of the numbers. The numbers x and y referred to as the conditions of the numeric ratio.
Types of ratios- what are ratios in math:
Compounded ratios in math.
Duplicate ratios in math.
Triplicate ratios in math.
Define compounded ratios in math:
Ordinary format for compounded numeric ratio is
`w/x` *`y/z`=`(wy)/(xz)`
Example for compounded numeric ratios in math:
How to calculate ratios: `5/1`*`2/3`=`(5*2)/(1*3)` or `10/3`or 10:3
Practice problems for compounded ratios in math:
How to calculate ratios: `4/1` * `3/2` Answer: `(4*3)/(1*2)` or `4/2` or 4:2
How to calculate ratios: `5/2` * `3/2` Answer: `(5*3)/(2*2)` or `5/4` or 5:4
Define duplicate numeric ratios in math:
General format for duplicate ratio is
`(x/y)*(x/y)` = `(x^2)/(y^2)`
Example for duplicate numeric ratios in math:
How to calculate numeric ratios: `9/2` *`9/2` = `(9*9)/(2*2)` or `(9^2)/(9^2)` or `9^2` :`2^2`
Practice problem:
How to calculate numeric ratios: `(11/2)*(11/2)` answer: `(11^2)/(2^2)` or `11^2` :`2^2`
Define triplicate numeric ratios in math:
General format for triplicates ratio is
`x/y` `x/y` `x/y` =`(x^3)/(y^3)`
Example for triplicate numeric ratios in math:
How to calculate numeric ratios: `3/2` * `3/2` * `3/2`=`(3*3*3)/(2*2*2)`=`(3^3)/(2^3)` or `3^3`:`2^3`
Practice problem:
How to calculate numeric ratios: `3/2` * `3/2` *`3/2` answer: `(3^3)/(2^3)` or `3^3`:`2^3`
Define Inverse numeric ratios in math:
It is often want to guesstimate the numbers of a numeric ratio in the inverse order. To do this, we simply swap the numerator and the denominator. Therefore, the inverse of 5:10 is 10:5. When the terms of a ratio are swap, the INVERSE NUMERIC RATIO results.
For example, in problems 1 through 6, write down the ratio as a fraction and reduce to lowest terms. In problems 1 through 6, write the inverse of the given ratio.
Example problem for inverse ratios in math:
In math, how to calculate inverse numeric ratios: `5/25`
Solution:
=`5/25` (5 Divided by both the numerator and denominator)
=`1/5`
Answer is `1/5` or 1:5
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 in ratio geometry - what are ratios in math:
When two objects are related to, the geometric ratio of the interval of a come together of linked sides is the identical as the ratio in geometry of any other team of equivalent linear measurements of the two objects. It is known as geometric ratios.
Therefore:
1) Lengths of comparable sides are equal.
2) The ratio in geometry of the interval end to end of any pair of equivalent sides is the identical as the ration of comparable perimeters, altitudes, or medians in.
Concept -what are ratios in math:
The numeric ratio of two numbers x and y(y?0) is the quotient of the numbers. The numbers x and y referred to as the conditions of the numeric ratio.
Types of ratios- what are ratios in math:
Compounded ratios in math.
Duplicate ratios in math.
Triplicate ratios in math.
Define compounded ratios in math:
Ordinary format for compounded numeric ratio is
`w/x` *`y/z`=`(wy)/(xz)`
Example for compounded numeric ratios in math:
How to calculate ratios: `5/1`*`2/3`=`(5*2)/(1*3)` or `10/3`or 10:3
Practice problems for compounded ratios in math:
How to calculate ratios: `4/1` * `3/2` Answer: `(4*3)/(1*2)` or `4/2` or 4:2
How to calculate ratios: `5/2` * `3/2` Answer: `(5*3)/(2*2)` or `5/4` or 5:4
Define duplicate numeric ratios in math:
General format for duplicate ratio is
`(x/y)*(x/y)` = `(x^2)/(y^2)`
Example for duplicate numeric ratios in math:
How to calculate numeric ratios: `9/2` *`9/2` = `(9*9)/(2*2)` or `(9^2)/(9^2)` or `9^2` :`2^2`
Practice problem:
How to calculate numeric ratios: `(11/2)*(11/2)` answer: `(11^2)/(2^2)` or `11^2` :`2^2`
Define triplicate numeric ratios in math:
General format for triplicates ratio is
`x/y` `x/y` `x/y` =`(x^3)/(y^3)`
Example for triplicate numeric ratios in math:
How to calculate numeric ratios: `3/2` * `3/2` * `3/2`=`(3*3*3)/(2*2*2)`=`(3^3)/(2^3)` or `3^3`:`2^3`
Practice problem:
How to calculate numeric ratios: `3/2` * `3/2` *`3/2` answer: `(3^3)/(2^3)` or `3^3`:`2^3`
Define Inverse numeric ratios in math:
It is often want to guesstimate the numbers of a numeric ratio in the inverse order. To do this, we simply swap the numerator and the denominator. Therefore, the inverse of 5:10 is 10:5. When the terms of a ratio are swap, the INVERSE NUMERIC RATIO results.
For example, in problems 1 through 6, write down the ratio as a fraction and reduce to lowest terms. In problems 1 through 6, write the inverse of the given ratio.
Example problem for inverse ratios in math:
In math, how to calculate inverse numeric ratios: `5/25`
Solution:
=`5/25` (5 Divided by both the numerator and denominator)
=`1/5`
Answer is `1/5` or 1:5
