Solve the equation w - 5 2/5 = 3 1/4.

Answer 1

To isolate w, we will need to get rid of the fractions on both sides of the equation.

On the left side:
w - 5 2/5 = w - (5 + 2/5) = w - (25/5 + 2/5) = w - 27/5

On the right side:
3 1/4 = 3 + 1/4 = 3 + 4/4 = 3 + 1 = 4

Now we can rewrite the equation as:
w - 27/5 = 4

To isolate w, we need to get rid of the fraction on the left side. This can be done by multiplying both sides of the equation by the denominator of the fraction, which is 5.

5(w - 27/5) = 5(4)

This simplifies to:
5w - 27 = 20

Next, let's isolate w by adding 27 to both sides of the equation:
5w - 27 + 27 = 20 + 27

This simplifies to:
5w = 47

To solve for w, divide both sides of the equation by 5:
5w/5 = 47/5

This simplifies to:
w = 47/5

Therefore, the solution to the equation w - 5 2/5 = 3 1/4 is w = 47/5.