Math  /  Numbers & Operations

QuestionFind the unit rate. 108 people 12 days \frac{108 \text { people }}{12 \text { days }} \square people ÷\div \square \square \square \square days ÷\div \square \square \square (Type whole numbers or decimals.)

Studdy Solution

STEP 1

What is this asking? How many people are there per day? Watch out! Don't flip the fraction!
We want people *per* day, not days *per* person.

STEP 2

1. Set up the division
2. Calculate the unit rate

STEP 3

Alright, so we're given 108 people12 days\frac{108 \text{ people}}{12 \text{ days}} and we want to find the unit rate, which means how many people there are *per* **one** day.

STEP 4

To get "per one day", we need to divide the number of days by something to get **one**.
Since 12÷12=112 \div 12 = 1, we'll divide both the **top** and **bottom** of our fraction by **12**.
Remember, dividing both the top and bottom by the same number is like dividing by one, which doesn't change the value of the fraction!

STEP 5

Let's do this!
We have: 108 people12 days=108 people÷1212 days÷12 \frac{108 \text{ people}}{12 \text{ days}} = \frac{108 \text{ people} \div 12}{12 \text{ days} \div 12}

STEP 6

Dividing the top gives us: 108÷12=9 108 \div 12 = 9 So, we have **9** people.

STEP 7

Dividing the bottom gives us: 12÷12=1 12 \div 12 = 1 So, we have **1** day.

STEP 8

Putting it all together, we get: 9 people1 day \frac{9 \text{ people}}{1 \text{ day}} Which is the same as 99 people per day!

STEP 9

99 people per day.
So, the blanks should be filled in as: 108÷12=9108 \div 12 = 9 and 12÷12=112 \div 12 = 1.

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