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.