Math Snap

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!

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!