# Ratio Manipulations in C++ | Set 1 (Arithmetic)

• Difficulty Level : Basic
• Last Updated : 18 Jan, 2022

C++ allows us to perform addition, subtraction, multiplication, and division operations on fractions. One method of adding ratios is discussed in the following article – Program to add two fractions. The method used here is tedious and lengthy, so to overcome that a better method was introduced in C++. The <ratio> header file in C++ allows us to manipulate ratios using various inbuilt template alias. The header file was introduced from C++ 11 onwards.

In this article, we will be discussing the Arithmetic Ratio Manipulations in C++. The following functions are used:

• ratio_subtract
• ratio_multiply
• ratio_divide

1) ratio_add: This template alias is used to add two ratios and return the result in the simplest form. It returns two-member constants, num, and den denoting numerator and denominator.

2) ratio_subtract: This template alias is used to subtract two ratios and return the result in the simplest form. It returns two-member constants, num, and den denoting numerator and denominator. It subtracts ratio2 from ratio1

## CPP

 `// C++ program to demonstrate the working of``// ratio_add and ratio_subtract``#include ``#include // for ratio manipulation``using` `namespace` `std;``int` `main()``{``    ``// Declaring ratios``    ``typedef` `ratio<5, 4> ratio1;``    ``typedef` `ratio<3, 4> ratio2;` `    ``// Summing two ratios``    ``typedef` `ratio_add sum;` `    ``// Subtracting two ratios``    ``typedef` `ratio_subtract diff;` `    ``// printing sum of ratios``    ``cout << ``"The sum of ratios is : "``;``    ``cout << sum::num << ``"/"` `<< sum::den;``    ``cout << endl;` `    ``// printing difference of ratios``    ``cout << ``"The difference of ratios is : "``;``    ``cout << diff::num << ``"/"` `<< diff::den;``    ``cout << endl;` `    ``return` `0;``}`

Output

```The sum of ratios is : 2/1
The difference of ratios is : 1/2```

3. ratio_multiply: This template alias is used to multiply two ratios and return the result in the simplest form. It returns two-member constants, num, and den denoting numerator and denominator.

4. ratio_divide: This template alias is used to divide two ratios and return the result in the simplest form. It returns two-member constants, num, and den denoting numerator and denominator. It divides ratio1 by ratio2

## CPP

 `// C++ program to demonstrate the working of``// ratio_multiply and ratio_divide``#include ``#include // for ratio manipulation``using` `namespace` `std;``int` `main()``{``    ``// Declaring ratios``    ``typedef` `ratio<5, 4> ratio1;``    ``typedef` `ratio<3, 4> ratio2;` `    ``// Multiplying two ratios``    ``typedef` `ratio_multiply prod;` `    ``// Dividing two ratios``    ``typedef` `ratio_divide ``div``;` `    ``// printing product of ratios``    ``cout << ``"The product of ratios is : "``;``    ``cout << prod::num << ``"/"` `<< prod::den;``    ``cout << endl;` `    ``// printing division of ratios``    ``cout << ``"The division of ratios is : "``;``    ``cout << ``div``::num << ``"/"` `<< ``div``::den;``    ``cout << endl;` `    ``return` `0;``}`

Output

```The product of ratios is : 15/16
The division of ratios is : 5/3```

For Next Set Refer to this article:

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