Question

You and your friend are painting a house. While you painted 2/12 of the house, your friend painted 3/18 of the house. Who painted more? By how much?

Answer 1

You=6/36

Friend=6/36

Answer: both you and your friend painted the same amount of the house.

Answer 2

$painted \: by \: me \: = \frac{2}{12} \\ painted \: by \: friend = \frac{3}{18} \\ lcm \: of \: 12 \: and \: 18 \: is \: 36. \\ \frac{2}{12} = \frac{2 \times 3}{12 \times 3} = \frac{6}{36} \\ \frac{3}{18} = \frac{3 \times 2}{18 \times 2} = \frac{6}{36} \\ both \: painted \: equally$