Question

Solve the equation w−5 2/5=3 1/4 .(1 point)

Responses

w=2 3/20
w equals 2 Start Fraction 3 over 20 end fraction

w=8 3/9
w equals 8 Start Fraction 3 over 9 end fraction

w=8 3/20
w equals 8 Start Fraction 3 over 20 end fraction

w=8 13/20

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation w - 5 2/5 = 3 1/4, you need to find the value of w that makes the equation true.

First, convert the mixed numbers to improper fractions:

5 2/5 = 27/5
3 1/4 = 13/4

Now, substitute these values into the equation:

w - 27/5 = 13/4

To get rid of the fractions, multiply both sides of the equation by the least common denominator (LCD). The LCD in this case is 5 x 4 = 20.

20(w - 27/5) = 20(13/4)

Simplify and solve the equation:

20w - 108 = 65

Add 108 to both sides:

20w = 173

Divide both sides by 20 to isolate w:

w = 173/20

Simplify the fraction:

w = 8 13/20

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