2/5 = ___ /10 = _____ /15

2/5 = 4/10

the denominator was multiplied by 2, so the numerator has to be multiplied by 2

for 2/5 = ---/15, what was the denominator multiplied by?? ....

2/5=4/10=6/15

2/5=x2 4/10=x3 6/15

To solve this problem, we can use a proportionality relationship.

First, let's solve for the first blank. We know that 2/5 is equivalent to a fraction over 10. To find the missing value, we need to set up a proportion:

2/5 = x/10

To solve for x, we cross-multiply:

2 * 10 = 5 * x

20 = 5x

Next, we divide both sides of the equation by 5 to isolate x:

20/5 = x
4 = x

Therefore, the first blank is filled with the value 4.

Now, let's solve for the second blank. We have found that 2/5 is equivalent to 4/10. We can now use this information to set up a new proportion:

4/10 = y/15

Similar to before, we cross-multiply:

4 * 15 = 10 * y

60 = 10y

Dividing both sides of the equation by 10, we solve for y:

60/10 = y
6 = y

Thus, the second blank is filled with the value 6.

So, the answers to the equation 2/5 = ___ /10 = _____ /15 are 4/10 and 6/15, respectively.