Question

Fill in the missing numbers to create equivalent ratios.

Answer 1

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

10/25 = 0.4

They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25

I really hope this helps you =)

Answer 2

$\dfrac{x}{10}=\dfrac{2}{5}\qquad\text{multiply both sides by 10}\\\\x=\dfrac{2}{5}\cdot10\\\\x=\dfrac{2}{1}\cdot2\\\\\boxed{x=4}\\\\\dfrac{y}{6}=\dfrac{5}{2}\qquad\text{multiply both sides by 6}\\\\y=\dfrac{5}{2}\cdot6\\\\y=\dfrac{5}{1}\cdot3\\\\\boxed{y=15}\\\\\dfrac{z}{25}=\dfrac{2}{5}\qquad\text{multiply both sides by 25}\\\\z=\dfrac{2}{5}\cdot25\\\\z=\dfrac{2}{1}\cdot5\\\\\boxed{z=10}$