what value could be added to 2/15 to make the sum greater then 1/2
A.1/15
B.8/30
C.5/15
D.8/15
D?
yes d
Yes, D.
I’m late but D Is Correct
To find the value that could be added to 2/15 to make the sum greater than 1/2, we need to find the common denominator of both fractions.
The common denominator of 2/15 and 1/2 is 30.
Now, we need to convert both fractions to have a denominator of 30.
For 2/15, we multiply the numerator and denominator by 2 to get 4/30.
For 1/2, we multiply the numerator and denominator by 15 to get 15/30.
Now, we add the fractions:
4/30 + x/30 > 15/30
Combining like terms, we have:
(x + 4)/30 > 15/30
To get rid of the fractions, we can multiply both sides by 30:
30(x + 4)/30 > 30(15/30)
Simplifying, we have:
x + 4 > 15
Subtracting 4 from both sides:
x > 11
So, any value greater than 11 could be added to 2/15 to make the sum greater than 1/2.
Looking at the answer options:
A. 1/15
B. 8/30
C. 5/15
D. 8/15
The only option greater than 11 is D. 8/15.
Therefore, the correct answer is D. 8/15.