The greatest common factor (GCF) is the greatest factor that divides two integers.

To add these radicals together their radicands must be the same:

4\( \sqrt{48} \) + 7\( \sqrt{3} \)
4\( \sqrt{16 \times 3} \) + 7\( \sqrt{3} \)
4\( \sqrt{4^2 \times 3} \) + 7\( \sqrt{3} \)
(4)(4)\( \sqrt{3} \) + 7\( \sqrt{3} \)
16\( \sqrt{3} \) + 7\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

1

If 53% of the town's 33,000 voters cast ballots the number of votes cast is:

(\( \frac{53}{100} \)) x 33,000 = \( \frac{1,749,000}{100} \) = 17,490

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 17,490 = \( \frac{979,440}{100} \) = 9,794 votes.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.