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.