Converting among ratios, fractions and decimals - Rates, Ratios, and Proportions

Converting among ratios, fractions and decimals

Lessons

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.

1.
Converting Ratios to Fractional and Decimal Forms
A questionnaire shows that the ratio of iPhone to Samsung users is 4:5.
2.
Part-to-part Vs. Part-to-whole Ratios
Dennis drew a picture using only 14 circles and 12 triangles.
4.
Comparing Ratios
Find the value of x for the following ratios.

Converting among ratios, fractions and decimals

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Intro Lesson:

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Lesson: 1a

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Intro

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Do better in math today

Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

Notes:

Intro Lesson

Introduction to Converting Among Ratios, Fractions and Decimals

1.

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

a)

Express the ratio in fractional form.

b)

Convert the ratio to its decimal form.

2.

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

a)

What is the ratio of circles to triangles in fractional form?

b)

What is the ratio of circles to all the shapes in the picture in fractional form?

3.

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?

4.

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

a)

x:12=1:2x:12 = 1:2x:12=1:2

b)

(2x+3)4=(x+1)2\frac{(2x+3)}{4} = \frac{(x+1)}{2}4(2x+3)​=2(x+1)​

5.

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?

6.

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?

7.

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.

Converting among ratios, fractions and decimals

Don't just watch, practice makes perfect.

We have over 670 practice questions in Basic Math for you to master.

or

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.

$x:12 = 1:2$

$\frac{(2x+3)}{4} = \frac{(x+1)}{2}$

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.