Math 7/3.2 Fractions to Percents

Poll

How ready are you to learn today?

• Learning is not my priority right now.

• I feel unprepared to learn today.

• I am here and willing to try.

• I am ready to learn today.

• I am want to learn the next concept in math.

​Math 7/3.2 Percents
Learning Goal:
I can convert fraction to percents.

Vocabulary and Information to know:
To convert a fraction to a percent- Two Ways

Option 1:
Divide the numerator by the denominator AND then multiply by 100.
When multiplying by 100, move the decimal point two places to the right!

Option 2:
Multiply both numerator and denominator by a number that will make the denominator equal to 100.

​Let's test multiply by 100 on the next slides.

​When multiplying by 100, move the decimal point two places to the right!


For example:

1.7 x 100 = 1.70 21.3 x 100 = 2130 0.09 x 100 = 9

Multiple Choice

​When multiplying by 100, move the decimal point two places to the right!

1.2 x 100 =

• 120
• 1.20
• 12.0

Multiple Choice

​When multiplying by 100, move the decimal point two places to the right!

0.077 x 100

• 7.7
• 77
• 0.00077
• 770

Multiple Choice

​When multiplying by 100, move the decimal point two places to the right!

3.21 x 100

• 123

• 321

• 312

​OK, now we will try dividing the numerator by the denominator.

You will do this with long division:
Put the numerator in the house and the denominator outside.

1. ​Steps to divide:

2. Ask- How many times does ____ go in ___ (factor on top)

3. Then multiply (factor on top by factor on side) (product on bottom)

4. Then Subtract (difference on bottom)

5. Then bring down

6. Then start over at 1
   

Multiple Choice

$$\frac{4}{5}$$  Convert this fraction to a decimal.

• 8

• 0.08

• 0.8

• 1

Multiple Choice

$$\frac{5}{7}$$  Convert this fraction to a decimal.

• 0.8

• 0.71

• 0.071

• 1

Multiple Choice

$$\frac{11}{20}$$  Convert this fraction to a decimal.

• 0.65

• 0

• 0.56

• 0.55

OK, now let's put the step together.

First you will divide
Second you will multiply by 100

Fill in the Blank

$$\frac{7}{20}$$  = ___%

(type number & % sign)

Fill in the Blank

$$\frac{39}{50}=$$  ___%

(type number & % sign)

Fill in the Blank

$$\frac{19}{20}=$$  ___%

(type number & % sign)

Multiple Choice

4/200 =

• 40%

• 2%

• 42%

• 20%

Poll

How are you felling about converting fraction to percents?

• I find it confusing to convert fractions to percents.

• I feel positive about converting fractions to percents.

• I think this is going well and i find it easy.

​If the numerator is twice as big as the denominator it will be 200%
For example: 6/3 = 2 or 200% 10/5 = 2 or 200%

​If the numerator is three times as big as the denominator it will be 300%
For example: 36/12 = 3 or 300% 9/3 = 3 or 300%

We will test this out on the next slides.

1 whole = 100%
2 whole = 200%
3 whole = 300%
4 whole = 400%

and on and on and on

Math Response

What percent is $$\frac{4}{4}$$ ?

Type answer here

Correct Answer: 100

Deg^°

Rad

Fill in the Blank

$$\frac{10}{5}$$ is _ %

Multiple Choice

$$\frac{18}{9}\ is\ what\ percent?$$

• 90%

• 100%

• 200%

• 900%

If a fraction is improper,
the numerator is larger than the denominator,
break it into a mixed number
and only divide the fraction part.

Multiple Choice

what is $$\frac{12}{5}$$ as a percent?

• 240%
• 220%

• 210%

• 200%

Multiple Choice

What is $$\frac{25}{4}$$ as a percent?

• 550%

• 650%

• 525%

• 625%

Multiple Choice

What is $$\frac{13}{5}$$ as a percent?

• 180%

• 200%
• 230%

• 260%

Now you will practice with problems with context, aka story problems.

Multiple Choice

Do you know what AKA stands for?

• Also Known As A
• Another Kind of Acronym
• Also Known As
• All Kinds of Abbreviations

Multiple Choice

Polly’s oxygen tanks is 3/5 full. 

How full is Polly’s oxygen tank, in percent?

• 30%
• 85%

• 50%
• 60%

Multiple Choice

3/8 of Liam’s co-workers prefer tea over coffee. 

What percent of Liam’s co-workers prefer tea over coffee?

• 39%

• 44%

• 37.5%
• 36%

Multiple Choice

Tomi’s chip business made in 2024 $$\frac{36}{25}$$ of its revenue in 2023. 

What is Tomi company’s revenue in 2024 as a percent of its revenue in 2023?

• 244%

• 240%

• 140%

• 144%

Multiple Choice

Jay is letting bread dough rise. After three hours, her bread dough is $$\frac{13}{4}$$ of its original size?

What percent of its original size is Jay’s bread dough?

• 325%
• 335%

• 375%

• 400%

Poll

How do you feel about converting fractions to decimals?

• I still need support, I don't understand all the steps.

• I think I can do it and am ready to try.

• I understand this and it all makes sense to me.

Math 7/3.2
Fractions to Percents

​Ok now you are going to test your skills on Khan Academy. You goal is to get above a 70%, if you don't redo the assignment until you do :)

Please try the assignment:

Convert fractions to percents

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