Solve the equation w−5 2/5 = 3 1/4

Answer 1

To solve for w, we need to isolate the variable on one side of the equation.

First, we convert the mixed numbers to improper fractions:

w - 5 2/5 = 3 1/4

w - 27/5 = 13/4

Then, we can simplify by getting rid of fractions. To do this, we can find a common denominator of 20 for both sides:

4w/4 - (27/5) * 4/4 = (13/4) * 5/5

4w/4 - 108/20 = 65/20

Next, we can combine like terms:

4w/4 = 173/20

Finally, we can solve for w by multiplying both sides by 4:

w = (4 * 173)/20

w = 34.6

Therefore, w is equal to 34.6.