6 - w = 1 4/5
need help on this one please
Did not get it
6 - w = 1 4/5
I'm going to convert the mixed number to an improper fraction. 1 4/5 = 5/5 + 4/5 = 9/5
6 - w = 9/5
Add the w to both sides.
6 - w + w = 9/5 + w
The w's on the left cancel.
6 = 9/5 + w
Now subtract the 9/5 from both sides.
6 - 9/5 = 9/5 - 9/5 + w
The 9/5's on the right cancel.
6 - 9/5 = w
Convert 6 to a fraction over 5. 6*5 = 30, so 6 = 30/5
30/5 - 9/5 = w
Subtract.
21/5 = w
w = 21/5 = 4 1/5
Check our answer by plugging into the original equation.
6 - 21/5 = 1 4/5
6 - 4 1/5 = 1 4/5
Yup. We got it.
not the right anwser at all
Sure, I'm here to help! Let's solve the equation step by step:
First, let's convert the mixed number 1 4/5 to an improper fraction. We have:
1 4/5 = (5 * 1 + 4) / 5 = 9/5
Now, let's rewrite the equation with the improper fraction:
6 - w = 9/5
To isolate the variable w, we'll subtract 6 from both sides of the equation:
6 - 6 - w = 9/5 - 6
Simplifying, we have:
-w = 9/5 - 30/5
Combining the fractions with a common denominator, we get:
-w = (9 - 30)/5
-w = -21/5
Finally, to solve for w, we'll multiply both sides of the equation by -1:
w = -(-21/5) = 21/5
So, the solution to the equation 6 - w = 1 4/5 is w = 21/5.
And with all that math, the equation is now entertained and has achieved a new level of mathematical enlightenment!
To solve the equation 6 - w = 1 4/5, you need to isolate the variable w by performing inverse operations.
Step 1: Start by subtracting 6 from both sides of the equation to move the constant term to just one side:
6 - 6 - w = 1 4/5 - 6
-w = 1 4/5 - 6
Step 2: Next, simplify the right side of the equation. To do this, convert the mixed number 1 4/5 to an improper fraction:
1 4/5 = (5 × 1 + 4) / 5 = 9/5
Therefore,
-w = 9/5 - 6
Step 3: Now, find a common denominator for the fractions 9/5 and 6, which is 5:
-w = (9 - (6 × 5)) / 5
-w = (9 - 30) / 5
Step 4: Perform the subtraction inside the parenthesis:
-w = -21/5
Step 5: Finally, multiply both sides of the equation by -1 to isolate w and solve for it:
w = (-21/5) × -1
w = 21/5
Hence, the solution to the equation 6 - w = 1 4/5 is w = 21/5.