This **article aims to find the ratio between two numbers**. The article uses the** simple concept of ratio**. In mathematics, a **ratio** shows how **many times one number contains another.** For example, if there are **eight pears** and **six lemons** in a bowl of fruit, then ratio of pears to lemons is** eight to six** (i.e. $8:6$, which corresponds to a ratio of $4:3$). Similarly, the **r****atio of lemons to pears** is $6:8$ (or $3:4$), and the **ratio of oranges to total fruit** is $ 8:14 $ (or $4:7$).

A **ratio may be **written by giving both** constituting numbers** written as $”\dfrac {a }{ b}”$ or “$a:b$”.

**Expert Answer**

A **ratio** is **comparison between two (or more) different amounts of the same unit**. The ratio does not tell us how many there are together, but only how their **numbers compare**.** For example**, if the **number of boys** to girls at a** hockey game** is $ 2 : 1 $, we know **following information**:

– There are **more number of boys than the girls**.

– There are $ 2 $ **boys for every girl** in the team.

– The number of boys is **twice** the number of **girls,** which is the same as saying that there are** half** as many girls as boys.

-We don’t know the **total number of people** at the match, but we know it’s a **multiple** of $ 3 $.

– $ \dfrac { 2 } { 3 } $ from the **group are boys** and $ \dfrac { 1 } { 3 } $ are **girls.**

If we know that there are $ 720 $ **people** at match, we will know that there are $ 480 $ **boys** and $ 240 $** girls**.

\[ \dfrac { 2 } { 3 } \times 720 = 480 \: boys \: and \: \dfrac { 1 } { 3 } \times 720 = 240 \: girls \]

**Numerical Result**

The **ratio** is a **comparison between two different quantities of the same unit**.

**Example**

**What does a $ 3 : 1 $ ratio mean?**

**Solution**

A **ratio** is **comparison between two (or more) different amounts of the same unit**. The ratio does not tell us how many there are together, but only how their **numbers compare**.** For example**, if the **number of oranges** to apple at a** basket** is $ 3 : 1 $, we know the** following information**:

– There are **more oranges than apples**.

– There are $ 3 $ **oranges for every apple**.

– The number of oranges is **three times** the number of apples**.**

-We don’t know the **total number of fruits** in the basket, but we know it’s a **multiple** of $ 4 $.

– $ \dfrac { 3 } { 4 } $ from the **oranges** and $ \dfrac { 1 } { 4 } $ are **apples.**

If we are told that there are $ 20 $ **fruits** in the **basket,** we will know that there are $ 15 $ **oranges** and $ 5 $** apples**.

\[ \dfrac { 3 } { 4 } \times 20 = 15 \: oranges \: and \: \dfrac { 1 } { 4 } \times 20 = 5 \: apples \]