Perform the operation below. Express your answer as a mixed number in simplest form. 1, one tenth, plus, 2, start fraction, 6, divided by, 7, end fraction 1 10 1 ​ +2 7 6 ​

1 answer

To solve this problem, we'll first find the sum of the whole numbers 1 + 2 = 3.
Next, we'll add the fractions together.

1/10 + 2 6/7

To add these fractions, we need to find a common denominator. The least common multiple of 10 and 7 is 70.

1/10 = (1/10) * (7/7) = 7/70
2 6/7 = (2 * 7 + 6)/7 = 20/7

Now we can add the fractions:

7/70 + 20/7

To add these fractions, we need to find a common denominator. The least common multiple of 70 and 7 is 70.

7/70 + 20/7 = (7/70) * (1/1) + (20/7) * (10/10)
= 7/70 + 200/70
= (7 + 200)/70
= 207/70

Now we can express this fraction as a mixed number.

207 divided by 70 equals 2 with a remainder of 37.
So the mixed number is 2 37/70.

Therefore, 1 1/10 + 2 6/7 = <<1+2+37/70=3 37/70>>3 37/70. Answer: \boxed{3\frac{37}{70}}.