To solve the equation, we'll first convert the mixed numbers to improper fractions.
w - 5 2/5 = 3 1/4
In proper fraction form, 5 2/5 is equal to (5*5 + 2)/5 = 27/5.
And, 3 1/4 is equal to (3*4 + 1)/4 = 13/4.
So the equation becomes:
w - 27/5 = 13/4
Now, let's find a common denominator for the fractions on both sides of the equation. The least common multiple of 5 and 4 is 20.
Multiplying both sides of the equation by 20, we get:
20w - (20*27)/5 = (20*13)/4
Simplifying:
20w - 108 = 65
Adding 108 to both sides:
20w = 173
Finally, dividing both sides by 20:
w = 173/20
Therefore, the solution to the equation is:
w = 8 13/20
Solve the equation w−5 2/5=3 1/4 .
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