Question

What two ratios are equivalent to 10:18

Answer 1

10 : 18          2 into 10 is 5, 2 into 18 is 9.

5 : 9.

You can also choose to multiply 10 : 18 by 2.

2*10 : 2*18

20 : 36.

Therefore   5 : 9 and 20 : 36  are two ratios that are equivalent to 10 : 18.

Answer 2

Good morning!

So when we look at ratios like 10:18, we read them as "Ten out-of eighteen" and we can basically think of them like fractions.  In this case, we can look at the ratio 10:18 to mean the same thing as 10/18.  

Now let's look at the fraction 10/18.  We can see that both numbers are divisible by 2.  Therefore, we can have 10/18 = (10/2)/(18/2) = 5/9 and both fractions represent the same number/amount.  We now have one equivalent ratio to 10:18, which is 5:9.

To find another equivalent ratio, we can look at 10/18 again, then multiply both numbers by the same any number.  In this case, let's multiply both numbers by 2.  So we now have (10*2)/(18*2) = 20/36 which is the same as 20:36.

We have now found two new ratios equivalent to 10:18.
⇒ 5/9
⇒20/36

Hope this helps,
-Timmeh