Math / Numbers & Operations

Question4. $28 \div 32$

Studdy Solution

STEP 1

What is this asking? We're simply trying to divide 28 by 32! Watch out! Don't flip the numbers around; we're dividing 28 by 32, not the other way around.

STEP 2

1. Convert to a fraction
2. Simplify the fraction
3. Perform the division

STEP 3

Let's rewrite our division problem as a fraction.
This makes it easier to see how we can simplify things.
We can write $28 \div 32$ as $\frac{28}{32}$ .
Remember, the number we're dividing (28, our dividend) goes on top (the numerator), and the number we're dividing by (32, our divisor) goes on the bottom (the denominator).

STEP 4

Now, let's look for common factors!
Both 28 and 32 are even numbers, so we know they're both divisible by 2.
Let's divide both the top and bottom by 2: $\frac{28}{2} = 14$ and $\frac{32}{2} = 16$ .
So, our fraction becomes $\frac{14}{16}$ .

STEP 5

Hey, both 14 and 16 are still even!
Let's divide by 2 again! $\frac{14}{2} = 7$ and $\frac{16}{2} = 8$ .
Now our fraction is $\frac{7}{8}$ .
7 is a prime number, and since 8 isn't a multiple of 7, we know we can't simplify any further!
Awesome!

STEP 6

Now, we can divide 7 by 8.
Remember, $\frac{7}{8}$ is the same as $7 \div 8$ .
Think of it this way: you have 7 cookies and you want to share them equally among 8 friends.
Each friend gets a little less than a whole cookie, right?

STEP 7

Let's do the division: $7 \div 8 = 0.875$ .
So, $\frac{7}{8} = \textbf{0.875}$ .
That's our final answer!

STEP 8

$28 \div 32 = 0.875$

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Question4. $28 \div 32$

Studdy Solution

STEP 1

What is this asking? We're simply trying to divide 28 by 32! Watch out! Don't flip the numbers around; we're dividing 28 by 32, not the other way around.

STEP 2

1. Convert to a fraction
2. Simplify the fraction
3. Perform the division

STEP 3

STEP 4

Now, let's look for common factors!
Both 28 and 32 are even numbers, so we know they're both divisible by 2.
Let's divide both the top and bottom by 2: $\frac{28}{2} = 14$ and $\frac{32}{2} = 16$ .
So, our fraction becomes $\frac{14}{16}$ .

STEP 5

Hey, both 14 and 16 are still even!
Let's divide by 2 again! $\frac{14}{2} = 7$ and $\frac{16}{2} = 8$ .
Now our fraction is $\frac{7}{8}$ .
7 is a prime number, and since 8 isn't a multiple of 7, we know we can't simplify any further!
Awesome!

STEP 6

Now, we can divide 7 by 8.
Remember, $\frac{7}{8}$ is the same as $7 \div 8$ .
Think of it this way: you have 7 cookies and you want to share them equally among 8 friends.
Each friend gets a little less than a whole cookie, right?

STEP 7

Let's do the division: $7 \div 8 = 0.875$ .
So, $\frac{7}{8} = \textbf{0.875}$ .
That's our final answer!

STEP 8

$28 \div 32 = 0.875$

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Question4. 28÷3228 \div 3228÷32

Studdy Solution

STEP 1

What is this asking? We're simply trying to divide 28 by 32! Watch out! Don't flip the numbers around; we're dividing 28 *by* 32, not the other way around.

STEP 2

1. Convert to a fraction2. Simplify the fraction3. Perform the division

STEP 3

STEP 4

Now, let's look for **common factors**!Both 28 and 32 are even numbers, so we know they're both divisible by **2**.Let's divide both the top and bottom by 2: 282=14\frac{28}{2} = 14228​=14 and 322=16\frac{32}{2} = 16232​=16.So, our fraction becomes 1416\frac{14}{16}1614​.

STEP 5

Hey, both 14 and 16 are *still* even!Let's divide by **2** again! 142=7\frac{14}{2} = 7214​=7 and 162=8\frac{16}{2} = 8216​=8.Now our fraction is 78\frac{7}{8}87​.7 is a **prime number**, and since 8 isn't a multiple of 7, we know we can't simplify any further!Awesome!

STEP 6

Now, we can divide 7 by 8.Remember, 78\frac{7}{8}87​ is the same as 7÷87 \div 87÷8.Think of it this way: you have 7 cookies and you want to share them equally among 8 friends.Each friend gets a little less than a whole cookie, right?

STEP 7

Let's do the division: 7÷8=0.8757 \div 8 = 0.8757÷8=0.875.So, 78=0.875\frac{7}{8} = \textbf{0.875}87​=0.875.That's our **final answer**!

STEP 8

28÷32=0.87528 \div 32 = 0.87528÷32=0.875

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Question4. $28 \div 32$

What is this asking? We're simply trying to divide 28 by 32! Watch out! Don't flip the numbers around; we're dividing 28 by 32, not the other way around.

1. Convert to a fraction
2. Simplify the fraction
3. Perform the division

Now, let's look for common factors!
Both 28 and 32 are even numbers, so we know they're both divisible by 2.
Let's divide both the top and bottom by 2: $\frac{28}{2} = 14$ and $\frac{32}{2} = 16$ .
So, our fraction becomes $\frac{14}{16}$ .

Hey, both 14 and 16 are still even!
Let's divide by 2 again! $\frac{14}{2} = 7$ and $\frac{16}{2} = 8$ .
Now our fraction is $\frac{7}{8}$ .
7 is a prime number, and since 8 isn't a multiple of 7, we know we can't simplify any further!
Awesome!

Now, we can divide 7 by 8.
Remember, $\frac{7}{8}$ is the same as $7 \div 8$ .
Think of it this way: you have 7 cookies and you want to share them equally among 8 friends.
Each friend gets a little less than a whole cookie, right?

Let's do the division: $7 \div 8 = 0.875$ .
So, $\frac{7}{8} = \textbf{0.875}$ .
That's our final answer!

$28 \div 32 = 0.875$