- Ratios and Unit Rates
- Home
- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship

# Writing Ratios Using Different Notations

A ratio tells us how much there is of a quantity as compared to another.

The ratio of A to B is read as A is to B and written as A:B

The numbers A and B are called terms of the ratio with A being called the **antecedent** and B being called the **consequent**.

The **order in a ratio** is important. The ratio A:B is not same as B:A

**Notation **

The ratio of A to B is read as A is to B and ‘A is to B’ is the **word notation** of the ratio A:B

The **number notation** of the ratio A to B is A:B; A ratio is written with a colon between the two quantities that are being compared. For example, the ratio of 2 to 5 is written as 2:5.

A ratio can also be written in **fraction notation** with a horizontal bar separating the two quantities, for example the ratio 3:7 is written as $\frac{3}{7}$.

Write the word notation, number notation and fraction notation for the following ratio −

There are 2 boys and 3 girls. The ratio of boys to girl is …

### Solution

**Step 1:**

The word notation for the ratio of boys to girls is 2 is to 3

**Step 2:**

The number notation for the ratio of boys to girls is 2:3

**Step 3:**

The fraction notation for the ratio of boys to girls is $\frac{2}{3}$

**Step 4:**

Ratio of boys to girls is 2:3 and the ratio of girls to boys is 3:2

There are 3 apples and 4 oranges; Find the ratio of oranges to all fruits

### Solution

**Step 1:**

There are 3 apples and 4 oranges. The total number of fruits = 3 + 4 = 7

**Step 2:**

So the ratio of oranges to all fruits is 4:7