Ratio Calculator

The relationship between two numbers is said to be ratio. It can be expressed as a to b (or) a/b (or) a : b. Perform the basic arithmetic operations (addition, subtraction, multiplication and division) using this ratio calculator. A ratio of 1 : 2 means that the second part is twice as large as first one. Similarly, 1 : 4 means second part is four times large as first part.

Addition, Subtraction, Multiplication, Division of Ratios

Number of Input
Ratio Output

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Formula:

Addition: Ca = (a1/b1) + (a2/b2) = ((a1*b2) + (a2*b1)) / (b1 * b2) Subtraction: Cs = (a1/b1) - (a2/b2) = ((a1*b2) - (a2*b1)) / (b1 * b2) Multiplication: Cm = (a1/b1) * (a2/b2) = ((a1*a2) / (b1*b2)) Division: Cd = (a1/b1) / (a2/b2) = ((a1*b2) / (b1*a2)) Where, Ca = Ratio Addition Cs = Ratio Subtraction Cm = Ratio Multiplication Cd = Ratio Division a1, a2 = Numerator Input b1, b2 = Denominator Input

Example

Ratios Addition

The process of adding two (or) more ratios is called as ratio addition.
Add the ratios 1 : 2, 3 : 4,
Ca = (a1/b1) + (a2/b2)
Ca = ((a1*b2) + (a2*b1)) / (b1 * b2)
Ca = ((1*4) + (3*2)) / (2 * 4)
By adding the two ratios, you will get 10 : 8 which is equal to 1.25

Ratios Subtraction

The process of subtracting two (or) more ratios is called as ratio subtraction.
Subtract the ratios 1 : 2, 3 : 4,
Cs = (a1/b1) - (a2/b2)
Cs = ((a1*b2) - (a2*b1)) / (b1 * b2)
Cs = ((1*4) - (3*2)) / (2 * 4)
By subtracting the three ratios, you will get -2 : 8 which is equal to -0.25

Ratios Multiplication

The process of multiplying one ratio with the another ratio is called as ratio multiplication.
Multiply the ratios 10 : 20, 30 : 40 ,
Cm = (a1/b1) * (a2/b2)
Cm = ((a1*a2) / (b1*b2))
Cm = ((10*30) / (20*40))
By multiplying the two ratios, you will get 300 : 800 which is equal to 0.375

Ratios Division

The process of dividing two ratios is called as ratio division.
Divide the ratios 1 : 3, 5 : 4 ,
Cd = (a1/b1) / (a2/b2)
Cd = ((a1*b2) / (b1*a2))
Cm = ((1*4) / (3*5))
By dividing the two ratios, you will get 4 : 15 which is equal to 0.2667

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