# Converting among ratios, fractions and decimals

##### Intros

##### Examples

###### Lessons

**Converting Ratios to Fractional and Decimal Forms**A questionnaire shows that the ratio of iPhone to Samsung users is 4:5.

**Part-to-part Vs. Part-to-whole Ratios**Dennis drew a picture using only 14 circles and 12 triangles.

**Use of Fractional Ratios**The ratio of males to females in a certain class is 2 to 3. How many of the 45 students are female?

**Comparing Ratios**Find the value of x for the following ratios.

**Application of Comparing Ratios**The ratio of horses and cows at a farm is 10:13. If there are 91 cows, how many horses are there?

**Application of Ratios - Tips**The tips Mary paid on her $800 meal is $120. How much would she have to pay for tips if a person had a meal of $240?

**Application of Ratios – Similar Triangles**Given the following similar triangles. If A=32, B=24, C=40 and b=3, find the lengths of sides a and c.

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###### Topic Notes

In this lesson, we will learn:

- Converting Ratios to Fractional and Decimal Forms
- Part-to-part Vs. Part-to-whole Ratios
- Use of Fractional Ratios
- Comparing Ratios
- Application of Comparing Ratios
- Application of Ratios – Tips
- Application of Ratios – Similar Triangles

__Notes:__- A ratio in the form of $a:b$ can be written in fractional form $\frac{a}{b}$, which can be further converted to decimals by solving a÷b.

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