Ratio to Fraction Converter

Ratio :

In mathematics, The ratio can be used to relate two quantities by using the symbol : Also it can be expressed as follows,

• x is to y
• the ratio of x to y
• x : y

Fraction :

In mathematics , Part of the whole can be expressed as fraction. There are three kinds of fraction

• Proper fraction
• Improper fraction
• Mixed fraction

In this article we are going to see about how to simplify the ration as fraction by using the ratio to fraction converter.

Ratio to Fraction Converter :

Converter:

The electronic or software device that can perform the operations Quickly. The ratio to fraction converter can be used to convert fraction for the given ratio.



Fig(i) Ratio to fraction converter

Let us see some problems on ratio to fraction convertor.

Problems on Ratio to Fraction Converter :

Problem 1:

Convert the ratio 45 : 180 into simplified fraction

Solution:

Given,The ratio 45 : 180

We need to convert the given ratio into fraction .

we know that 45 : 180 = ` 45/ 180`

Divided by  45 on both numerator and denominator,

`45/180` = `( 45 / 45 ) / ( 180 / 180 )`

= `1 / 4`

Answer: The simplified fraction of the given fraction is  `1/4` .


Problem 2:

In a bag, there is Blue  and Green balls, the ratio of Blue balls to Green balls is 5:6. If the bag contains 180 Blue balls, how many green balls are there?

Solution:

Given The ratio of the Blue and green balls = 5 : 6

Number of blue balls = 180

Let us take x = green balls

To find the green balls we need to convert the given ratio into fraction,

Write the items in the ratio as a fraction.

`(blue) / (green)` = `5/6` = `x / 180`

`5/6` = `x / 180`

Multiply by 6 on both sides,

5 = `x / 180 `

5 = `x / 30`

Now multiply by 30 on both sides,

5 * 30 = x

150 = x

x = 150

Total number of black balls = 150

Answer: Green balls = 150