Solve the equation w−5 2/5 = 3 1/4.

Question

1. w = 8 3/9
2. w = 8 13/20
3. w = 2 3/20
4. 2 = 8 3/20

Answer 1

To solve the equation w - 5 2/5 = 3 1/4, we need to find the value of w.

First, let's convert the mixed numbers into improper fractions.

5 2/5 = (5 * 5 + 2)/5 = 27/5

3 1/4 = (3 * 4 + 1)/4 = 13/4

Now, we can rewrite the equation as:

w - 27/5 = 13/4

To get rid of the fraction on the left side, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators 5 and 4, which is 20.

20w - 20 * (27/5) = 20 * (13/4)

20w - 108/5 = 260/4

Now, let's simplify the left side by finding a common denominator.

20w - 108/5 = 260/4

To find a common denominator between 5 and 4, we need to multiply the fractions by 4 and 5 respectively.

20w - (108/5 * 4/4) = 260/4

20w - 432/20 = 260/4

Now, the fractions have the same denominator.

20w - 432/20 = 65/1

To combine the fractions, we need to multiply the numbers on the right side by 20.

20w - 432/20 = 65/1 * 20/20

20w - 432/20 = 1300/20

Now, we can combine the fractions.

20w - 432/20 = 1300/20

20w - 432 = 1300

Next, let's isolate w by adding 432 to both sides.

20w - 432 + 432 = 1300 + 432

20w = 1732

Finally, divide both sides by 20 to solve for w.

w = 1732/20

Simplifying the fraction, we get:

w = 86.6

Therefore, the value of w is not one of the options provided.