SIFT Math Practice Test

To simplify the sum of the two fractions \((6/7) + (5/14)\), you first need a common denominator. The denominators in this case are 7 and 14. The least common multiple of these two numbers is 14.

Next, convert \(6/7\) into a fraction with a denominator of 14. Since \(6/7\) can be multiplied by \((2/2)\) to make the denominator 14, you get:

\[

6/7 = (6 \times 2)/(7 \times 2) = 12/14

\]

Now, add this to the other fraction:

\[

12/14 + 5/14 = (12 + 5)/14 = 17/14

\]

The fraction \(17/14\) is an improper fraction, which can also be expressed as a mixed number. When you divide 17 by 14, it equals 1 with a remainder of 3, which can be written as:

\[

1 + 3/14

\]

To express this as a decimal, convert \(3/14\):

\[

3 ÷ 14 \approx 0.214