Question

m-m-1/2=1-m-2/3
$m - \frac{m - 1}{2} = 1 - \frac{m - 2}{3}$
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Answer 1

Answer:

m = 7/5

Step-by-step explanation:

m - (m - 1)/2 = 1- (m - 2)/3

(2m - m + 1)/2 = (3 - m + 2)/3

(m + 1)/2 = ( 5 - m)/3

3(m + 1) = 2(5 - m)

3m + 3 = 10 - 2m

3m + 2m = 10 - 3

5m = 7

m = 7/5

Answer 2

Answer:

Is $\frac{7}{5}$

Step-by-step explanation:

Down below is the answer explanation or how I got this answer...

$m-\frac{m-1}{2} = 1- \frac{m-2}{3}$

So firstly you can see that this equation has denominators. So, in order to remove the denominators we should find the LCM that is Least Common Factor of the numbers in the denominators....

So the numbers in the place of denominators is 2 and 3. So, we should find the LCM of 2 and 3...

LCM of 2 and 3 is = 6

We should multiply each of the numbers in the equation with the LCM that is 6 as shown below...

6 x $m$ - 6 x $\frac{m-1}{2}$ = 6 x 1 - 6 x $\frac{m-2}{3}$

Now we should divide the LCM that is 6 with the denominators to simplify the answer which will look like this...

6m - 3 x (m-1) = 6-2 x (m-2)

Now we should multiply the numbers in the brackets as per BODMAS that is Bracket Of Division, Multiplication, Addition and Subtraction, Bracket comes first so we should start by simplifying the brackets.....

6m - 3 x (m-1) = 6-2 x (m-2)

We will simplify the highlighted part as shown below...

-3 x m = -3m

-3 x -1 = 3

6m -3m+3 = 6-2 x (m-2)

Now we should simplify the bracket in the other side as well...

-2 x m = -2m

-2 x 2 = -4

6m - 3m+3 = 6 - 2m-4

Now we should group the like term......

6m-3m+2m = 6+4-3

Now we should simplify further like shown below,

3m+2m = 10-3

again simplify....

5m = 7

Now we evaluate as shown below....

m = $\frac{7}{5}$

And Therefore we get our final answer as $\frac{7}{5}$

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