6 - m = 2 and 3/10

no the answer is not m=3 7/10

6-m=2 3/10

-m=2 3/10-6
-m=-4 3/10
m=4 3/10

wait nevermind, the answer IS 3 7/10 is was reading the question incorrectly, sorry!

To solve the equation 6 - m = 2 and 3/10, we need to isolate the variable 'm'.

Step 1: Subtract 2 and 3/10 from both sides of the equation to eliminate it from the right side:

6 - m - 2 and 3/10 = 2 and 3/10 - 2 and 3/10

This simplifies to:

3 and 7/10 - m = 0

Step 2: To eliminate the fraction, convert 3 and 7/10 into an improper fraction. Multiply the whole number (3) by the denominator (10), then add the numerator (7) to get the new numerator:

(3 * 10 + 7) / 10 = 37/10

Now the equation becomes:

37/10 - m = 0

Step 3: To isolate 'm', we need to eliminate the fraction. Multiply both sides of the equation by the reciprocal of 37/10, which is 10/37:

(10/37)(37/10 - m) = (10/37)(0)

This simplifies to:

1 - (10/37)m = 0

Step 4: Distribute the (10/37) to the terms inside the parentheses:

1 - (10/37)m = 0
1 - (10/37)m = 0
1 - (10/37)m = 0
1 - (10/37)m = 0

Now we have:

10/37 - (10/37)m = 0

Step 5: Rearrange the equation to isolate 'm'. Move the term with m to the left side and the constant term to the right side:

- (10/37)m = -10/37

To solve for 'm', we multiply both sides by -37/10:

(-37/10)(- (10/37)m) = (-37/10)(-10/37)

Now it becomes:

m = 37/10

So the solution to the equation 6 - m = 2 and 3/10 is m = 37/10.