# How to calculate ratios?

Our ancient architecture and constructions are splendid examples for the observation of approach to geometry and the use of shapes and structures in a specific manner. The term geometry is expected to be derived from Greek words ‘ge’ and ‘materia’ which means earth and measurement respectively.

Geometryis the study of shapes, structures and their properties.

The development of infrastructure in the modern progressive world is highly relying on geometry. it is the base for architecture, designing, construction activities, and many other fields. Apart from on-field construction work geometry also has its role in the IT world as it is a vital part of the technical background for computing various designs, blueprints, programming, etc.

**What are ratios?**

Ratios are the fractional expression of two numbers suppose p and q as p/q, always expressed in reduced form.

The other definition can also be that it is a comparison of two or more numbers as how many times one number contains another.

### How to calculate ratios?

**Answer:**

Ratios are the fractions of two numbers expressed in the form of p/q (where p and q are definite real numbers). So, to calculate the ratio we have to divide one data with the other.

Suppose the given two numbers are 100 and 50. Now to find their ratio we have to divide the number 100 by 50.

That is,

=>100/50 = 2/1

The ratio of the given two numbers is 2/1 or 2:1.

### Sample Problems

**Problem 1. A classroom consists of 50 boys and 30 girls. What is the ratio of boys to girls?**

**Solution:**

Given,

Number of boys = 50

Number of girls = 30

Ratio of boys to girls = 50/30 = 5/3

The ratio of boys to girls is 5/3 or 5:3.

**Problem 2. If the ratio of two supplementary angles is 2:3. Find the angles.**

**Solution:**

Let the ratio 2 to 3 be 2x to 3x.

Now, as the angles are supplementary angles

=>2x + 3x = 180°

=>x = 36°

Then,

= 2x = 2×36 = 72°

=> 3x = 3×36 = 108°

The angles are 72° and 108°

**Problem 3. A basket consists of 16 oranges and 12 mangoes. Find the ratio of orange to mango in the basket.**

**Solution:**

Given,

Number of oranges = 16

Number of mangoes = 12

Then,

Ratio of orange to mango = 16/12 = 4/3

Hence, the ratio of orange to mango is 4/3 or 4:3.