To solve the equation w−5 2/5=3 1/4, we need to convert both mixed numbers into improper fractions.
5 2/5 = (5*5 + 2)/5 = 27/5
3 1/4 = (3*4 + 1)/4 = 13/4
Now we can rewrite the equation as:
w - 27/5 = 13/4
To get rid of the denominators, we can multiply both sides of the equation by the least common multiple (LCM) of 5 and 4, which is 20.
20(w - 27/5) = 20(13/4)
This simplifies to:
20w - 108 = 65
Now, let's isolate the variable by adding 108 to both sides:
20w = 65 + 108
20w = 173
Finally, divide both sides by 20 to solve for w:
w = 173/20
The correct response is: w equals 8 Start Fraction 13 over 20 end fraction