Solve the equation w−5 2/5=3 1/4 .(1 point) Responses w=8 13/20 w equals 8 Start Fraction 13 over 20 end fraction w=2 3/20 w equals 2 Start Fraction 3 over 20 end fraction w=839 w equals 8 Start Fraction 3 over 9 end fraction w=8 3/20
To solve the equation, we need to isolate the variable w.
First, let's simplify the right side of the equation:
3 1/4 = 3 + 1/4 = 3 + 0.25 = 3.25
Next, let's subtract 3.25 from both sides of the equation to isolate w:
w - 5 2/5 - 3 1/4 = 3.25 - 3
w - 27/5 - 13/4 = 0.25
To add or subtract fractions, we need a common denominator. In this case, the LCM of 5 and 4 is 20.
Recall that to subtract fractions, we need to have the same denominator. So, we need to convert both fractions to have a denominator of 20:
w - (27/5)(4/4) - (13/4)(5/5) = 1/4
w - 108/20 - 65/20 = 1/4
Now, we can combine the fractions on the left side:
w - (108 + 65)/20 = 1/4
w - 173/20 = 1/4
To solve for w, we need to isolate it. Let's add 173/20 to both sides of the equation:
w - 173/20 + 173/20 = 1/4 + 173/20
w = 173/20 + 1/4
w = (173 + 5)/20
w = 178/20
Lastly, let's simplify the fraction:
w = 8 18/20 = 8 9/10
So, the solution to the equation is w = 8 9/10.
rong pick one of the answers i put
Apologies for the confusion. Upon reviewing your provided answers, the correct solution is:
w = 8 13/20