Question

Solve the equation W - 5 2/5 = 3 1/4
O W = 2 3/20
O W = 8 13/20
O W = 8 3/9
O W = 8 3/20

Answer 1

To solve the equation, we need to isolate W on one side of the equation.

First, let's convert the mixed numbers to improper fractions:
W - 5 2/5 = 3 1/4
W - 27/5 = 13/4

Next, let's find a common denominator to combine the fractions on the right side of the equation. The common denominator for 5 and 4 is 20.
W - 27/5 = 13/4
W - (27/5)(4/4) = 13/4
W - 108/20 = 13/4

Now, let's simplify the equation:
W - 108/20 = 13/4
W - 5.4 = 3.25

To isolate W, we need to get rid of the -5.4 by adding it to both sides of the equation:
W - 5.4 + 5.4 = 3.25 + 5.4
W = 8.65

Lastly, let's convert the decimal back to a mixed number:
W = 8.65
W = 8 + 0.65
W = 8 + 65/100
W = 8 65/100
W = 8 13/20

Therefore, the solution to the equation is W = 8 13/20.