Perform the operation below. Express your answer as a mixed number in simplest form.
1 1/10 + 2 6/7
To perform the operation 1 1/10 + 2 6/7, we first need to convert the mixed numbers to improper fractions.
1 1/10 = (10 * 1 + 1) / 10 = 11/10
2 6/7 = (7 * 2 + 6) / 7 = 20/7
Now, we can add the fractions.
11/10 + 20/7 = (11 * 7 + 20 * 10) / (10 * 7) = (77 + 200) / 70 = 277/70
Next, we can simplify the fraction.
277/70 = 3 17/70
Therefore, 1 1/10 + 2 6/7 = 3 17/70.
To perform this operation, we need to add the whole numbers separately from the fractions.
First, let's add the whole numbers: 1 + 2 = 3.
Next, let's add the fractions:
1/10 + 6/7
To add fractions with different denominators, we need to find a common denominator. In this case, we can use 70 as a common denominator. Let's convert the fractions:
1/10 = (1 x 7)/(10 x 7) = 7/70
6/7 = (6 x 10)/(7 x 10) = 60/70
Now, we can add the fractions:
7/70 + 60/70 = 67/70
So, the result of the operation is:
3 + 67/70
To express this as a mixed number, we divide the fraction numerator (67) by the denominator (70):
67 ÷ 70 = 0 with a remainder of 67.
Thus, the mixed number in simplest form is:
3 67/70
To perform the operation, follow these steps:
Step 1: Convert both mixed numbers to improper fractions.
1 1/10 = (1 * 10 + 1) / 10 = 11/10
2 6/7 = (2 * 7 + 6) / 7 = 20/7
Step 2: Find a common denominator for the fractions, in this case, it is 70 since 10 and 7 both divide evenly into 70.
Step 3: Rewrite both fractions with the common denominator:
11/10 = (11 * 7) / (10 * 7) = 77/70
20/7 = (20 * 10) / (7 * 10) = 200/70
Step 4: Add the fractions together:
77/70 + 200/70 = (77 + 200) / 70 = 277/70
Step 5: Simplify the fraction to its simplest form by finding the greatest common divisor (GCD) of the numerator and denominator, which is 1.
277/70 is already in simplest form.
Step 6: Convert the improper fraction back to a mixed number:
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number portion, and the remainder becomes the new numerator, over the original denominator.
277 divided by 70 is 3 with a remainder of 17, so the mixed number is 3 and 17/70.
Therefore, the answer to the operation 1 1/10 + 2 6/7 expressed as a mixed number in simplest form is 3 17/70.