Add the fractions 2/3, 3/8, and 5/12 and reduce your answer to lowest terms.

A. 10/24 C. 1 11/24
B. 25/24 D. 1 1/2

would you add 2/24, 3/24, and 5/24

which equals 10/24 but I don't understand the lowest terms.

The common denominator is 24 -- so

2/3 = 16/24
3/8 = 9/24
5/12 = 10/24

16/24 + 9/24 + 10/24 = 35/24 = 1 11/24

This site explains lowest terms.

http://www.infoplease.com/ipa/A0933466.html

thanks

You're welcome.

To reduce a fraction to its lowest terms, you need to simplify the numerator and denominator by finding their greatest common divisor (GCD) and dividing both of them by that GCD.

In this case, the numerator is 10 and the denominator is 24. To find the GCD of these two numbers, you can list their factors:
- The factors of 10 are 1, 2, 5, and 10.
- The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The common factors of 10 and 24 are 1 and 2. The greatest common divisor is therefore 2.

To reduce the fraction, divide both the numerator and the denominator by the GCD (which is 2 in this case):
- 10 divided by 2 equals 5.
- 24 divided by 2 equals 12.

So, the reduced fraction is 5/12.

Therefore, the answer to the question is 5/12.