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
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}}.
To solve this expression, we need to find a common denominator for the two fractions involved.
The first fraction, 1 and one-tenth, can be written as a fraction with a common denominator of 10: 1/1 + 1/10 = 10/10 + 1/10 = 11/10.
Now, let's solve the second fraction, 2 and six-sevenths (2 6/7). We can convert this into an improper fraction: 2 * 7 + 6 = 14 + 6 = 20. Hence, the second fraction can be written as 20/7.
Adding the two fractions together, we get:
11/10 + 20/7.
To add these fractions, we need a common denominator. In this case, the least common multiple of 10 and 7 is 70. Now, we can adjust the fractions to have a common denominator:
11/10 * 7/7 = 77/70
20/7 * 10/10 = 200/70
Now, we can add the two fractions:
77/70 + 200/70 = 277/70
To express this fraction as a mixed number in simplest form, we can divide the numerator (277) by the denominator (70).
277 ÷ 70 = 3 remainder 17.
So, the mixed number is 3 and 17/70.
To perform the operation and express it as a mixed number in simplest form, follow these steps:
Step 1: Add the whole numbers:
1 + 2 = 3
Step 2: Find a common denominator for the fractions:
The denominator for the first fraction is 10, and the denominator for the second fraction is 7. The least common multiple of 10 and 7 is 70.
Step 3: Convert the fractions to have a common denominator:
Multiply the numerator and denominator of the first fraction by 7:
1/10 × 7/7 = 7/70
Multiply the numerator and denominator of the second fraction by 10:
2 6/7 × 10/10 = 26/70
Step 4: Add the fractions:
7/70 + 26/70 = 33/70
Step 5: Simplify the fraction:
The numerator and denominator of 33/70 have a common factor of 11. Divide both the numerator and denominator by 11:
33 ÷ 11 / 70 ÷ 11 = 3/6
Step 6: Simplify the fraction further:
The numerator and denominator of 3/6 have a common factor of 3. Divide both the numerator and denominator by 3:
3 ÷ 3 / 6 ÷ 3 = 1/2
Therefore, the calculated answer is 3 1/2.