Question

Mary has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard? I

Answer 1

Answer:

3/6 + 1/3

Step-by-step explanation:

20/24 can be devided top and bottom by 4 which would equal 5/6, if you add 3/6 + 1/3 also equals 5/6.

Answer 2

Answer:

$\frac{3}{6}+\frac{1}{3}$

Step-by-step explanation:

To answer this question, we have to sum each pair of cable and see which one results in 20/24.

$\frac{3}{6}+\frac{1}{4}=\frac{12+6}{24}=\frac{18}{24}=\frac{3}{4}$

$\frac{3}{6}+\frac{1}{3}=\frac{9+6}{18}=\frac{15}{18}=\frac{5}{6}$

$\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}$

Now, if we simply 20/24, we have:

$\frac{20}{24}=\frac{10}{12}=\frac{5}{6}$

As you can see, the answer is the second sum above, because they have the same basic fraction.

Therefore, the answer is

$\frac{3}{6}+\frac{1}{3}$