Solve the equation w−5 2/5=3 1/4.(1 point)

Question

Responses

Answer 1

To solve the equation, we need to isolate the variable 'w'.

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

2/5 is equivalent to 12/5
1/4 is equivalent to 5/4

Now, let's rewrite the equation:

w - 12/5 = 3 + 5/4

Next, let's find a common denominator to combine the fractions on the right side of the equation.

The common denominator for 5 and 4 is 20.

So, 3 + 5/4 becomes 3 * (20/20) + 5/4

This simplifies to 60/20 + 5/4

To add these fractions, we need a common denominator of 20.

So, 60/20 becomes 60/20 * (1/1) and 5/4 becomes 5/4 * (5/5).

This results in 60/20 * 1/1 + 5/4 * 5/5

Simplifying further, we get 60/20 + 25/20

Combining the fractions, we get (60 + 25)/20 = 85/20.

Now, let's rewrite the equation with the simplified fractions:

w - 12/5 = 85/20

To eliminate the fractions, we can multiply both sides of the equation by the common denominator of 20.

This gives us 20 * (w - 12/5) = 20 * (85/20)

Simplifying further, we get 20w - 12 = 85

To remove the constant term on the left side, we can add 12 to both sides:

20w - 12 + 12 = 85 + 12

Simplifying further, we get 20w = 97

Finally, to isolate 'w', we divide both sides by 20:

20w/20 = 97/20

Simplifying further, we get w = 97/20.

Therefore, the solution to the equation is w = 97/20.

Answer 2

make it mixed

Answer 3

To convert the fraction 97/20 to a mixed number, divide the numerator (97) by the denominator (20).

97 divided by 20 is equal to 4 with a remainder of 17.

So, the mixed number equivalent of 97/20 is 4 and 17/20.

Therefore, the solution to the equation is w = 4 17/20.

Answer 4

no

Answer 5

I apologize for the mistake. Let's correct it.

To convert the fraction 97/20 into a mixed number, divide the numerator (97) by the denominator (20).

The quotient is 4 and the remainder is 17.

So, the mixed number equivalent is 4 17/20.

Therefore, the solution to the equation is w = 4 17/20.