Ratio Calculator, formula, work with steps and practice problems to express the ratio of two or three numbers to its simplest form. It uses two or three whole numbers, integers, decimal numbers, fractions or mixed numbers $A, B$ and $C$ (optional) and simplifies ratios of the form $A : B: C$.
It is necessary to follow the next steps:
A 2 numbers ratio is a relationship between two real or complex numbers indicating how many times the first number contains the second.
The numbers in a ratio may be any magnitudes, such as measurements of lengths, weights, time, etc.
A ratio may be either specified by giving both constituting numbers, written as
To find the simplified ratio we need to convert all values to whole numbers and to reduce the whole numbers to lowest terms using the greatest common factor (GCF). We distinguish two cases:
The ratio can be applied to all physical quantities, finance and numbers such as the amount of sharing, investment, profit, loss, time taken, time, work, distance, speed etc. Two magnitudes are in the golden ratio if their ratio is equal to the ratio of the sum of the magnitudes to the larger of the magnitudes. This means, for magnitudes $a>b>0$, the golden ratio is
Practice Problem 1:
The perimeter of a rectangle is $100$ centimeters. The ratio of its sides is $3:7$. Find the area of this rectangle.
Practice Problem 2:
he measures of the angles of a triangle are in the ratio $1:2:3$. Find the measures of the angles of the triangle.
Practice Problem 3:
The ratios of the side lengths of the triangle $\Delta ABC$ to the corresponding side lengths of $\Delta A'B'C'$ are in ratio $2:1$. Find perimeters of these triangles.