To solve the equation w - 5 2/5 = 3 1/4, we need to eliminate fractions and decimals.
First, let's convert the mixed numbers 5 2/5 and 3 1/4 to improper fractions.
5 2/5 = (5 * 5 + 2) / 5 = 27/5
3 1/4 = (3 * 4 + 1) / 4 = 13/4
Now, substitute these values back into the equation:
w - 27/5 = 13/4
To eliminate the fractions, we can multiply through by the least common multiple (LCM) of the denominators, which in this case is 20.
20(w) - 20(27/5) = 20(13/4)
20w - 108 = 65
Now, let's isolate the variable w by adding 108 to both sides:
20w - 108 + 108 = 65 + 108
20w = 173
Finally, divide both sides by 20 to solve for w:
w = 173/20
This fraction can be simplified to a mixed number, so divide the numerator (173) by the denominator (20):
173 ÷ 20 = 8 remainder 13
Therefore, w = 8 13/20.
solve the equation w - 5 2/5 = 3 1/4
w = 2 3/20
w = 8 3/9
w = 8 13/20
w = 8 3/20
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