Math / Numbers & Operations

QuestionMariana is buying laundry pods at the supermarket. Each laundry pod contains 0.8 ounces of liquid detergent.
Write 0.8 ounces as a fraction in simplest form. $\square$ of an ounce Write 0.8 ounces as a percent. $\square$ \% of an ounce Submit

Studdy Solution

STEP 1

What is this asking? We need to rewrite 0.8 ounces, the amount of detergent in one laundry pod, as a simplified fraction and as a percentage. Watch out! Don't forget to simplify the fraction fully and remember how decimals relate to percentages!

STEP 2

1. Convert the decimal to a fraction.
2. Simplify the fraction.
3. Convert the decimal to a percentage.

STEP 3

Alright, let's kick things off by turning our decimal, $0.8$ , into a fraction.
Remember, the first place after the decimal point is the tenths place.
So, $0.8$ is the same as eight-tenths, which we can write as the fraction $\frac{8}{10}$ .

STEP 4

Now, time to simplify!
Both 8 and 10 are divisible by 2.
So, we divide both the numerator (the top number) and the denominator (the bottom number) by 2.
This gives us $\frac{8}{10} = \frac{8 \div 2}{10 \div 2} = \frac{4}{5}$ .
Can we simplify further?
Nope! 4 and 5 have no common factors other than 1.
So, our simplified fraction is $\frac{4}{5}$ .
Boom!

STEP 5

To turn our decimal, $0.8$ , into a percentage, we multiply it by 100.
Remember, "percent" literally means "per hundred".
So, $0.8 \cdot 100 = 80$ .
This means $0.8$ is the same as 80%.
Don't forget to add the percent sign!

STEP 6

$0.8$ ounces of detergent is equal to $\frac{4}{5}$ of an ounce, which is also equal to $80$ % of an ounce.

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QuestionMariana is buying laundry pods at the supermarket. Each laundry pod contains 0.8 ounces of liquid detergent.
Write 0.8 ounces as a fraction in simplest form. $\square$ of an ounce Write 0.8 ounces as a percent. $\square$ \% of an ounce Submit

Studdy Solution

STEP 1

What is this asking? We need to rewrite 0.8 ounces, the amount of detergent in one laundry pod, as a simplified fraction and as a percentage. Watch out! Don't forget to simplify the fraction fully and remember how decimals relate to percentages!

STEP 2

1. Convert the decimal to a fraction.
2. Simplify the fraction.
3. Convert the decimal to a percentage.

STEP 3

Alright, let's kick things off by turning our decimal, $0.8$ , into a fraction.
Remember, the first place after the decimal point is the tenths place.
So, $0.8$ is the same as eight-tenths, which we can write as the fraction $\frac{8}{10}$ .

STEP 4

STEP 5

To turn our decimal, $0.8$ , into a percentage, we multiply it by 100.
Remember, "percent" literally means "per hundred".
So, $0.8 \cdot 100 = 80$ .
This means $0.8$ is the same as 80%.
Don't forget to add the percent sign!

STEP 6

$0.8$ ounces of detergent is equal to $\frac{4}{5}$ of an ounce, which is also equal to $80$ % of an ounce.

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QuestionMariana is buying laundry pods at the supermarket. Each laundry pod contains 0.8 ounces of liquid detergent.Write 0.8 ounces as a fraction in simplest form. □\square□ of an ounce Write 0.8 ounces as a percent. □\square□ \% of an ounce Submit

Studdy Solution

STEP 1

What is this asking? We need to rewrite 0.8 ounces, the amount of detergent in one laundry pod, as a simplified fraction and as a percentage. Watch out! Don't forget to simplify the fraction fully and remember how decimals relate to percentages!

STEP 2

1. Convert the decimal to a fraction.2. Simplify the fraction.3. Convert the decimal to a percentage.

STEP 3

Alright, let's **kick things off** by turning our decimal, 0.80.80.8, into a fraction.Remember, the first place after the decimal point is the tenths place.So, 0.80.80.8 is the same as **eight-tenths**, which we can write as the fraction 810\frac{8}{10}108​.

STEP 4

STEP 5

To turn our decimal, 0.80.80.8, into a percentage, we **multiply** it by **100**.Remember, "percent" literally means "per hundred".So, 0.8⋅100=800.8 \cdot 100 = 800.8⋅100=80.This means 0.80.80.8 is the same as **80%**.Don't forget to add the percent sign!

STEP 6

0.80.80.8 ounces of detergent is equal to 45\frac{4}{5}54​ of an ounce, which is also equal to 808080% of an ounce.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMariana is buying laundry pods at the supermarket. Each laundry pod contains 0.8 ounces of liquid detergent.
Write 0.8 ounces as a fraction in simplest form. $\square$ of an ounce Write 0.8 ounces as a percent. $\square$ \% of an ounce Submit

1. Convert the decimal to a fraction.
2. Simplify the fraction.
3. Convert the decimal to a percentage.

Alright, let's kick things off by turning our decimal, $0.8$ , into a fraction.
Remember, the first place after the decimal point is the tenths place.
So, $0.8$ is the same as eight-tenths, which we can write as the fraction $\frac{8}{10}$ .

To turn our decimal, $0.8$ , into a percentage, we multiply it by 100.
Remember, "percent" literally means "per hundred".
So, $0.8 \cdot 100 = 80$ .
This means $0.8$ is the same as 80%.
Don't forget to add the percent sign!

$0.8$ ounces of detergent is equal to $\frac{4}{5}$ of an ounce, which is also equal to $80$ % of an ounce.