What is 2 over 12 plus 3 over 17?

Answer 1

2/12 + 3/17 can only be solved once we have common denominators. We need to find the lowest common multiple in order to find common denominators.

• 12 x 1 = 12
• 12 x 2 = 24
• 12 x 3 = 36
• 12 x 4 = 48
• 12 x 5 = 60
• 12 x 7 = 72
• 12 x 8 = 96
• 12 x 9 = 108
• 12 x 10 = 120
• 12 x 11 = 132
• 12 x 12 = 144
• 12 x 13 = 156
• 12 x 14 = 168
• 12 x 15 = 180
• 12 x 16 = 192
• 12 x 17 = 204

  now let's do the 17's

• 17 x 1 = 17
• 17 x 2 = 34
• 17 x 3 = 51
• 17 x 4 = 68
• 17 x 5 = 85
• 17 x 6 = 102
• 17 x 7 = 119
• 17 x 8 = 136
• 17 x 9 = 153
• 17 x 10 = 170
• 17 x 11 = 187
• 17 x 12 = 204

So it appears our lowest common denominator would be 204. So now we need to get both of the fractions over 204.

2/12 + 3/17 = 2/12 (17) + 3/17 (12) = 34/204 + 36/204 = 70/204

Now we know that 2/12 + 3/17 = 70/204, however, this is not in simplest terms. You can see that 204 is an even number which means you can attempt to divide each side by 2.

70/2 = 35

204/2 = 102

So there we have it 2/12 + 3/17 = 35/102.