To solve the equation, we need to make sure that both sides have the same denominator. Let's convert the mixed numbers into improper fractions:
w - 5 2/5 = 3 1/4
To convert 5 2/5 into an improper fraction:
(5 * 5 + 2)/5 = 27/5
To convert 3 1/4 into an improper fraction:
(3 * 4 + 1)/4 = 13/4
Now our equation becomes:
w - 27/5 = 13/4
To eliminate the fraction, we can multiply the entire equation by the least common multiple (LCM) of 5 and 4, which is 20:
20(w - 27/5) = 20(13/4)
20w - (20 * 27)/5 = (20 * 13)/4
20w - 540/5 = 260/4
Simplifying the equation:
20w - 108 = 65
Adding 108 to both sides to isolate the variable:
20w = 65 + 108
20w = 173
Finally, divide both sides by 20 to solve for w:
w = 173/20
Hence, the solution to the equation w - 5 2/5 = 3 1/4 is w = 173/20.
Solve the equation w−5 2/5=3 1/4
1 answer