w/4-w/5-1/3=16/15

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GCD is 4*15 = 60

15w/60 - 12w/60 - 20/60 = 64/60

now, since all the fractions have a common denominator, we can ignore it (actually, just multiply everything by 60)

15w - 12w - 20 = 64
3w = 84
w = 28

To solve the equation: w/4 - w/5 - 1/3 = 16/15, we can start by finding a common denominator for the fractions.

The least common denominator between 4, 5, and 3 is 60.

Multiplying each term by 60, we have:

(60 * w/4) - (60 * w/5) - (60 * 1/3) = (60 * 16/15)

Simplifying each term, we get:

15w - 12w - 20 = 64

Next, combine like terms:

3w - 20 = 64

Move the constant term to the other side of the equation:

3w = 64 + 20

3w = 84

To isolate the variable, divide both sides of the equation by 3:

w = 84/3

Simplifying the right side:

w = 28

Therefore, the solution to the equation w/4 - w/5 - 1/3 = 16/15 is w = 28.

To solve the equation w/4 - w/5 - 1/3 = 16/15, we need to find the value of w.

Step 1: Find a common denominator for the fractions in the equation. In this case, the least common denominator (LCD) is 60 because it is divisible by 4, 5, and 3.

Step 2: Rewrite the fractions with the LCD of 60.

w/4 can be rewritten as (15w)/60 because 60/4 = 15.
w/5 can be rewritten as (12w)/60 because 60/5 = 12.
1/3 remains as 1/3.

The equation now becomes: (15w)/60 - (12w)/60 - 1/3 = 16/15.

Step 3: Combine the fractions on the left side of the equation.

[(15w) - (12w)]/60 - 1/3 = 16/15.
(3w)/60 - 1/3 = 16/15.

Step 4: Simplify the fractions on the left side.

(3w)/60 can be further reduced to w/20.

w/20 - 1/3 = 16/15.

Step 5: Find a common denominator for the fractions w/20 - 1/3.

The least common denominator (LCD) is 60 because it is divisible by 20 and 3.

Step 6: Multiply the fractions by the appropriate factor to have a common denominator of 60.

(w/20) * 3/3 = (3w)/60.
(1/3) * 20/20 = 20/60.

Equation becomes: (3w)/60 - 20/60 = 16/15.

Step 7: Combine the fractions on the left side.

[(3w) - 20]/60 = 16/15.

Step 8: Cross-multiply.

15[(3w) - 20] = 16 * 60.

Step 9: Simplify.

45w - 300 = 960.

Step 10: Isolate the w term by adding 300 to both sides.

45w = 960 + 300.

45w = 1260.

Step 11: Solve for w by dividing both sides by 45.

w = 1260/45.

w = 28.

Therefore, the solution to the equation w/4 - w/5 - 1/3 = 16/15 is w = 28.