Solve the equation w−5 2/5=3 1/4.(1 point)Responsesw=2 3/20w equals 2 Start Fraction 3 over 20 end fractionw=8 13/20w equals 8 Start Fraction 13 over 20 end fractionw=8 3/9w equals 8 Start Fraction 3 over 9 end fractionw=8 3/20
To solve the equation w−5 2/5=3 1/4, we need to find the value of w.
First, subtract 5 2/5 from both sides of the equation:
w−5 2/5=3 1/4
w = 3 1/4 + 5 2/5
To add the fractions on the right side, we need to find a common denominator. The common denominator is 20:
3 1/4 = 3*4/4 + 1/4 = 12/4 + 1/4 = 13/4
5 2/5 = 5*5/5 + 2/5 = 25/5 + 2/5 = 27/5
So, we have:
w = 27/5 + 13/4
To add these fractions, we need to find a common denominator. The common denominator is 20:
27/5 = 27*4/5*4 = 108/20
13/4 = 13*5/4*5 = 65/20
Now, we can add the fractions:
w = 108/20 + 65/20 = (108 + 65)/20 = 173/20
Therefore, the solution to the equation w−5 2/5=3 1/4 is w = 173/20.