Ratios, Fractions, and Percents

Ratios, Fractions, and Percents

Let's review and practice using ratios, including fractions and percents.

Start by watching the video on the next screen, which is under 3 minutes long.

Multiple Select

For New Years I wanted to give my friends a healthy treat! I made a basket of apples for each of them. In each basket there were 4 red apples and 3 green apples.

Which of the following describe quantities that we know, from this problem?

• number of red apples

• number of friends

• number of years

• number of green apples

• number of healthy

Multiple Choice

A part-to-part ratio is one that compares two parts of a group.

What is the ratio of green apples to red apples in the basket?

• 4:3

• 4:7

• 3:4

• 3:7

Multiple Choice

The order of a ratio is important!

What is the ratio of red apples to green apples in the basket?

• 4:3

• 4:7

• 3:4

• 3:7

Multiple Choice

A part-to-whole ratio compares one of the parts to the WHOLE AMOUNT!

What is the ratio of green apples to the total amount of fruit in the basket?

• 4:3

• 4:7

• 3:4

• 3:7

Finding Percents

Fractions and percents are ALWAYS part-to-whole ratios!

What percent of the basket are red apples?

Click NEXT to step through the process.

Finding Percents

Fractions and percents are ALWAYS part-to-whole ratios!

What percent of the basket are red apples?

(1) Make a part-to-whole ratio.

 $\frac{red}{total}\ \frac{4}{7}$  

Finding Percents

Fractions and percents are ALWAYS part-to-whole ratios!

What percent of the basket are red apples?

(1) Make a part-to-whole ratio.

 $\frac{red}{total}\ \frac{4}{7}$  

(2) Divide numerator by denominator to get a decimal.

 $4\div7=0.571428571...$  

Finding Percents

Fractions and percents are ALWAYS part-to-whole ratios!

What percent of the basket are red apples?

(1) Make a part-to-whole ratio.

 $\frac{red}{total}\ \frac{4}{7}$  

(2) Divide numerator by denominator to get a decimal.

 $4\div7=0.571428571...$  

(3) Multiply by 100 (or move the decimal two spaces to the right).

 $\sim57.14\%$  of the apples are red

Multiple Choice

Now YOU try! What percent of the fruits in the basket are green apples?

You can use this example to help you!

• $\sim57.14\%$ are green apples.

• $\sim42.86\%$ are green apples

• $30\%$ are green apples

• $40\%$ are green apples

Open Ended

How Did You Do?

Did you use the example problem to guide you? What question(s) do you have?

Multiple Choice

Let's try again:

 $\frac{7}{12}=$  What percent?

•  $7\%$  

•  $55\%$  

•  $58.\overline{3}\%$  

•  $56.\overline{18}\%$  

Open Ended

How Did You Do?

(1)   $\frac{7}{12}$  

(2)    $7\div12=0.58\overline{3}$  

(3)   $0.58\overline{3}\ \times\ 100\ =\ 58.\overline{3}\%$  

Did you get the correct percent using a different method?  What question(s) do you have?

Multiple Choice

In a survey of 250 college students, 180 students stated that they preferred books over movies.

What percent of the students surveyed preferred books?

• $72\%$

• $18\%$

• $75\%$

• $25\%$

Open Ended

How Did You Do?

(1)   $\frac{180}{250}$  (part-to-whole is required!)

(2)   $180\div150=0.72$  

(3)   $0.72\times100=72\%$  

What question(s) do you have?

Review: Simplifying Ratios

Simplifying means writing the ratio using the smallest whole numbers possible.

Multiple Choice

Before we review, try simplifying the ratio

 $\frac{24}{30}$  

Choose the simplest form for this ratio:

•  $\frac{12}{15}$  

•  $\frac{4}{5}$  

•  $\frac{6}{7}$  

•  $\frac{8}{10}$  

Look for Common Factors

Remember: whatever you do to the numerator, you must also do that to the denominator!

Click NEXT to see another method.

Another Option to Try:

List the factors of each number, then divide both numerator and denominator by their greatest common factor.

Click NEXT.

Multiple Choice

Let's try another:

Simplify:

 $\frac{45}{120}$  

•  $\frac{3}{8}$  

•  $\frac{9}{24}$  

•  $\frac{15}{40}$  

•  $\frac{23}{60}$  

Multiple Choice

Let's try another:

Simplify:   $\frac{28}{40}$  

•  $\frac{14}{20}$  
  

•  $\frac{3.5}{5}$  
  

•  $\frac{7}{10}$  
  

•  $\frac{3}{5}$  
  

Multiple Choice

More ratios practice:

(If necessary, use the scroll bar on the right to see the entire question.)

Sarah has several of her friends over for hot chocolate after a cold afternoon of sledding. Six of her friends decide to have plain hot chocolate, and ten ask for marshmallows on top.

What is the ratio of people that chose plain to people that chose marshmallow hot chocolate? Simplify, if needed.

• $\frac{10}{6}$

• $\frac{6}{16}$

• $\frac{3}{5}$

• $\frac{3}{8}$

Multiple Choice

More ratios practice:

(If necessary, use the scroll bar on the right to see the entire question.)

Sarah has several of her friends over for hot chocolate after a cold afternoon of sledding. Six of her friends decide to have plain hot chocolate, and ten ask for marshmallows on top.

What fraction of Sarah's friends prefer plain hot chocolate? Simplify, if needed.

• $\frac{10}{6}$

• $\frac{6}{16}$

• $\frac{3}{5}$

• $\frac{3}{8}$

Open Ended

How Did You Do?

Did you remember that fractions and percents need to be part-to-whole? Did you simplify correctly? What question(s) do you have?

Multiple Choice

More ratios practice:

(If necessary, use the scroll bar on the right to see the entire question.)

Sarah has several of her friends over for hot chocolate after a cold afternoon of sledding. Six of her friends decide to have plain hot chocolate, and ten ask for marshmallows on top.

What percent of Sarah's friends prefer marshmallows on top of their hot chocolate?

•  $62.5\%$  
  

•  $60\%$  
  

•  $30\%$  
  

•  $37.5\%$  
  

Open Ended

How Are You Feeling About Ratios, Fractions, and Percents?

What question(s) do you have?