The dark chain is 5/12 yard long. The light one is 9/12 yard long. How long will they be if they are joined? Give the answer as a mixed number.

5/12 + 9/12 = ?

https://www.mathsisfun.com/fractions-menu.html

14/12

Thank you

To find the total length when the dark and light chains are joined together, we need to add their lengths.

The dark chain is 5/12 yard long, and the light chain is 9/12 yard long.

To find the total length, we add these fractions together:

5/12 + 9/12 = 14/12

However, 14/12 is an improper fraction, and we need to convert it to a mixed number.

To convert an improper fraction to a mixed number, divide the numerator by the denominator:

14 ÷ 12 = 1 remainder 2

The quotient, 1, becomes the whole number (1), and the remainder (2) becomes the numerator of the new fraction, with the same denominator (12).

Therefore, the mixed number representing the total length is 1 2/12 yard.

However, we can simplify this fraction. Both the numerator (2) and the denominator (12) can be divided by their greatest common divisor, which is 2.

2 ÷ 2 = 1
12 ÷ 2 = 6

So, the simplified fraction is 1 1/6 yard.

Therefore, if the dark and light chains are joined, the total length will be 1 1/6 yard.