Question

(3 5/18m+2 1/6)•6-7 2/3m

Answer 1

Ответ:

12m + 13

Пошаговое объяснение:

(3 5/18m+2 1/6)•6-7 2/3m  = (59/18m + 13/6) * 6 - 23/3m = 59/3m + 13 - 23/3m = 36/3m + 13 = 12m + 13

Answer 2

12m+13 ..............

Answer 3

To simplify the expression (3 5/18m + 2 1/6) * 6 - 7 2/3m, you can follow these steps:

Step 1: Add the mixed numbers (whole numbers and fractions) together:

3 5/18m + 2 1/6 = (3 + 2) + (5/18 + 1/6)m

Step 2: Find a common denominator for the fractions, which in this case is 18:

(5/18 + 1/6) = (5/18 + 3/18)m

Step 3: Add the fractions:

(5/18 + 3/18)m = (8/18)m

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 8 and 18, which is 2:

(8/18)m = (4/9)m

Now, we have simplified the expression to:

(3 + 2)(4/9)m * 6 - 7 2/3m

Step 5: Continue simplifying:

(5)(4/9)m * 6 - 7 2/3m

Step 6: Multiply:

(20/9)m * 6 - 7 2/3m

Step 7: Distribute the 6 to both terms inside the parentheses:

(20/9)m * 6 = (20/9)(6)m = (120/9)m = (40/3)m

Now the expression becomes:

(40/3)m - 7 2/3m

Step 8: Subtract the fractions:

(40/3 - 7 2/3)m

Step 9: Subtract the whole numbers:

(40/3 - 22/3)m = (18/3)m = (6)m

So, the simplified expression is:

6m