Perform the operation below. Express your answer as a mixed number in simplest form.

Question

1, one tenth, plus, 2, start fraction, 6, divided by, 7, end fraction
1
10
1
​
+2
7
6
​

Answer 1

To find the sum of 1 and one-tenth, we need to convert one-tenth to a common denominator. One-tenth is the same as 1/10, so we have:

1 + 1/10

To find the sum of 1 + 1/10 + 2 6/7, we need to convert all the fractions to a common denominator. The common denominator of 10, 7 is 70:

1 + 1/10 + 2 6/7 = 70/70 + 7/70 + 152/70

Now we can add the fractions together:

70/70 + 7/70 + 152/70 = 229/70

Converting this fraction to a mixed number:

229 ÷ 70 = 3 with a remainder of 19

So the mixed number in simplest form is:

3 19/70