simply-3/4r + 3 -5/6r -6

1 answer

To simplify this expression, we can combine like terms.

Combining the terms with 'r', we have:

3/4r - 5/6r

To combine these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12.

To convert 3/4 to a fraction with denominator 12, we multiply the numerator and denominator by 3: (3/4) * (3/3) = 9/12

To convert 5/6 to a fraction with denominator 12, we multiply the numerator and denominator by 2: (5/6) * (2/2) = 10/12

Now we have:

(9/12)r - (10/12)r

Combining these fractions, we have:

(9/12 - 10/12)r

Now we can subtract the fractions: 9/12 - 10/12 = -1/12

So the simplified expression becomes:

(-1/12)r + 3 - 6

Combining -1/12r, 3, and -6, we have:

(-1/12)r - 3