Algebra I All-in-One For Dummies. Mary Jane Sterling

alt="math"/>. The last two denominators, and , have a common factor of x. And the product of all three denominators is 6x². Divide the product by x and you get 6x. In long hand:

      27 . The least common denominator is 24.

28 . The least common denominator is 15.

      Or, leaving the whole number parts separate:

      29 .

      30 .

      31 . Here’s a chance to use the box method.

      The least common denominator is .

      32 . Go ahead and put the negative sign in front of the work in the first step. With one of the three fractions being negative, you know that the answer will be negative.

      33 . Change the first fraction to a mixed number.

34 . This time the answer is positive, because there are two negative fractions in the problem.

      35 . The answer will be positive, because there are two negative fractions.

      36 .

      37 .

      38 .

      39 .

      40 4.

41 .

      42 36,000. Simplify inside the parentheses first.

      43 –2.999948. By the order of operations, you multiply first and then subtract 3 from the result.

      44 0.6. Dividing, you have .

      45 . because

46 .

      47 . .

      48 .

       because two digits repeat .

      49 .

       because three digits repeat: .

      50 4.173. The number 7 follows the 2 in the thousandths place. Because 7 is greater than 5, you round up.

      If you’re ready to test your skills a bit more, take the following chapter quiz that incorporates all the chapter topics.