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the numerator of a fraction, equivalent to 3/4, is increased by an amount so that the value of the resulting fraction is 5/2. Find the amount that the numerator is increased

Sagot :

Karlnadunzaidn

In solving missing values in equations involving fractions, we must first determine the given values and the variables. Thus:

¾ + x = 5/2, where x is the value that we are looking for.

 

In solving this, we should transpose constants in the right side of the equation and the variables in the left side or:

X = 5/2 – ¾

 

Now, we solve by making the fractions similar.

5/2 and ¾ are dissimilar meaning they have different denominators and we should have same denominators.

 

5/2 = 10/4

 

X = 10/4 – ¾

X = 7/4

 

To check, we substitute the value of x to the original equation:

 

¾ + 7/4 = 10/4

 

Or, in lowest terms, 5/2