Math / Numbers & Operations

Question6. Complete the table using division to find ratios that are equivalent to 40:28.

Studdy Solution

STEP 1

What is this asking? We need to find other ratios that are the same as 40:28 by dividing both numbers by the same value! Watch out! Make sure to divide both numbers by the same value, otherwise, the ratio will change!

STEP 2

1. Divide by 2
2. Divide by 4
3. Divide by 7

STEP 3

Let's divide both 40 and 28 by 2.
We're doing this because dividing both parts of a ratio by the same number creates an equivalent ratio!
It's like simplifying a fraction!

STEP 4

$\frac{40}{2} = 20$ $\frac{28}{2} = 14$ So, our new ratio is 20:14.
See, it's like magic!

STEP 5

Now, let's go back to our original ratio, 40:28, and divide both numbers by 4 this time!
Remember, dividing both parts of the ratio by the same number keeps the ratio equivalent!

STEP 6

$\frac{40}{4} = 10$ $\frac{28}{4} = 7$ This gives us the equivalent ratio 10:7.
Awesome!

STEP 7

Let's try dividing our original ratio, 40:28, by 7!
Remember, as long as we divide both parts of the ratio by the same number, we'll get an equivalent ratio!

STEP 8

First, let's convert our numbers to fractions so we can see how to simplify them: $\frac{40}{7} = \frac{40}{7}$ This one doesn't simplify to a whole number, so we'll leave it as $\frac{40}{7}$ .

STEP 9

$\frac{28}{7} = 4$ This one simplifies nicely!

STEP 10

So, our new ratio is $\frac{40}{7}$ :4.
It looks a little different, but it's still equivalent to 40:28!

STEP 11

We found three equivalent ratios to 40:28: 20:14, 10:7, and $\frac{40}{7}$ :4.
Any of these ratios would correctly complete the table!

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Question6. Complete the table using division to find ratios that are equivalent to 40:28.

Studdy Solution

STEP 1

What is this asking? We need to find other ratios that are the same as 40:28 by dividing both numbers by the same value! Watch out! Make sure to divide both numbers by the same value, otherwise, the ratio will change!

STEP 2

1. Divide by 2
2. Divide by 4
3. Divide by 7

STEP 3

Let's divide both 40 and 28 by 2.
We're doing this because dividing both parts of a ratio by the same number creates an equivalent ratio!
It's like simplifying a fraction!

STEP 4

$\frac{40}{2} = 20$ $\frac{28}{2} = 14$ So, our new ratio is 20:14.
See, it's like magic!

STEP 5

Now, let's go back to our original ratio, 40:28, and divide both numbers by 4 this time!
Remember, dividing both parts of the ratio by the same number keeps the ratio equivalent!

STEP 6

$\frac{40}{4} = 10$ $\frac{28}{4} = 7$ This gives us the equivalent ratio 10:7.
Awesome!

STEP 7

Let's try dividing our original ratio, 40:28, by 7!
Remember, as long as we divide both parts of the ratio by the same number, we'll get an equivalent ratio!

STEP 8

First, let's convert our numbers to fractions so we can see how to simplify them: $\frac{40}{7} = \frac{40}{7}$ This one doesn't simplify to a whole number, so we'll leave it as $\frac{40}{7}$ .

STEP 9

$\frac{28}{7} = 4$ This one simplifies nicely!

STEP 10

So, our new ratio is $\frac{40}{7}$ :4.
It looks a little different, but it's still equivalent to 40:28!

STEP 11

We found three equivalent ratios to 40:28: 20:14, 10:7, and $\frac{40}{7}$ :4.
Any of these ratios would correctly complete the table!

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Question6. Complete the table using division to find ratios that are equivalent to 40:28.

Studdy Solution

STEP 1

What is this asking? We need to find other ratios that are the same as 40:28 by dividing both numbers by the same value! Watch out! Make sure to divide *both* numbers by the *same* value, otherwise, the ratio will change!

STEP 2

1. Divide by 22. Divide by 43. Divide by 7

STEP 3

Let's **divide** both 40 and 28 by **2**.We're doing this because dividing both parts of a ratio by the same number creates an **equivalent ratio**!It's like simplifying a fraction!

STEP 4

402=20\frac{40}{2} = 20240​=20 282=14\frac{28}{2} = 14228​=14 So, our **new ratio** is 20:14.See, it's like magic!

STEP 5

Now, let's go back to our **original ratio**, 40:28, and **divide** both numbers by **4** this time!Remember, dividing both parts of the ratio by the same number keeps the ratio **equivalent**!

STEP 6

404=10\frac{40}{4} = 10440​=10 284=7\frac{28}{4} = 7428​=7 This gives us the **equivalent ratio** 10:7.Awesome!

STEP 7

Let's try dividing our **original ratio**, 40:28, by **7**!Remember, as long as we divide *both* parts of the ratio by the *same* number, we'll get an **equivalent ratio**!

STEP 8

First, let's convert our numbers to fractions so we can see how to simplify them: 407=407\frac{40}{7} = \frac{40}{7}740​=740​ This one doesn't simplify to a whole number, so we'll leave it as 407\frac{40}{7}740​.

STEP 9

287=4\frac{28}{7} = 4728​=4 This one simplifies nicely!

STEP 10

So, our **new ratio** is 407\frac{40}{7}740​:4.It looks a little different, but it's still **equivalent** to 40:28!

STEP 11

We found three equivalent ratios to 40:28: 20:14, 10:7, and 407\frac{40}{7}740​:4.Any of these ratios would correctly complete the table!

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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.

What is this asking? We need to find other ratios that are the same as 40:28 by dividing both numbers by the same value! Watch out! Make sure to divide both numbers by the same value, otherwise, the ratio will change!

1. Divide by 2
2. Divide by 4
3. Divide by 7

Let's divide both 40 and 28 by 2.
We're doing this because dividing both parts of a ratio by the same number creates an equivalent ratio!
It's like simplifying a fraction!

$\frac{40}{2} = 20$ $\frac{28}{2} = 14$ So, our new ratio is 20:14.
See, it's like magic!

Now, let's go back to our original ratio, 40:28, and divide both numbers by 4 this time!
Remember, dividing both parts of the ratio by the same number keeps the ratio equivalent!

$\frac{40}{4} = 10$ $\frac{28}{4} = 7$ This gives us the equivalent ratio 10:7.
Awesome!

Let's try dividing our original ratio, 40:28, by 7!
Remember, as long as we divide both parts of the ratio by the same number, we'll get an equivalent ratio!

First, let's convert our numbers to fractions so we can see how to simplify them: $\frac{40}{7} = \frac{40}{7}$ This one doesn't simplify to a whole number, so we'll leave it as $\frac{40}{7}$ .

$\frac{28}{7} = 4$ This one simplifies nicely!

So, our new ratio is $\frac{40}{7}$ :4.
It looks a little different, but it's still equivalent to 40:28!

We found three equivalent ratios to 40:28: 20:14, 10:7, and $\frac{40}{7}$ :4.
Any of these ratios would correctly complete the table!