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 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
To express the given sum as a mixed number in simplest form, follow these steps:
Step 1: Convert 1/10 to a fraction with a common denominator.
1/10 = 7/70
Step 2: Find the sum of the fractions.
7/70 + 2/6
Step 3: Convert the fractions to a common denominator.
7/70 + 20/70
Step 4: Add the numerators and keep the common denominator.
27/70
Step 5: Simplify the fraction if possible.
27/70 cannot be simplified further because the numerator and denominator do not share any common factors.
Step 6: Express the fraction as a mixed number.
The fraction 27/70 can be expressed as a mixed number by dividing the numerator (27) by the denominator (70):
27 ÷ 70 = 0.38 (approximately)
Since 0.38 is less than 1, the mixed number is 0 27/70.
To perform the given operation, we need to add 1 (one tenth) to 2 (six divided by seven).
First, let's convert one-tenth to a fraction with a common denominator:
1 is the same as 1/1, and one-tenth is 1/10.
To add 1/10 to 2, we need to find a common denominator. The common denominator of 1 and 10 is 10.
So, we rewrite the problem as:
1/1 + 2 + (6/7)
Next, we need to find a common denominator for 2 and 6/7. Since 2 is equal to 2/1, the common denominator is 1.
Let's rewrite the problem again with the common denominator:
1/1 + 2/1 + (6/7)
Now, we can add the fractions:
1/1 + 2/1 + (6/7) = (7/7) + (14/7) + (6/7) = 27/7
The result is 27/7, which can also be expressed as a mixed number in simplest form.
To convert the fraction to a mixed number, we divide 27 by 7:
27 ÷ 7 = 3 remainder 6
So, the mixed number is 3 and 6/7.
Therefore, the final answer is 3 6/7.