3/4 Of A Number Plus1/3 Of The Same Number Is Equal To 52.What Is The Answer

3/4 of a number plus1/3 of the same number is equal to 52.what is the answer

 

Answer:

x = 48

Step-by-step explanation:

Let x represent the unknown quantity

3/4x + 1/3x = 52

Change dissimilar fractions into similar fractions

9/12x + 4/12x = 52

Add the fractions

13/12x = 52

Multiply 13/12 to both sides of the equation

(13/12) 13/12x = 52 (13/12)

x = 48

Checking:

3/4x + 1/3x = 52

3/4(48) + 1/3(48) = 52

36 + 16 = 52

52 = 52

CHECK

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