Find 3 and 2/7 + 2 and 3/14 + 4 and 3/7
A:9 and 8/14
B: 10 and 1/7
C:9 and 3/7
D: 9 and 13/14
3 4/14 + 2 3/14 + 4 6/14
3 + 2 + 4 + (4+3+6)/14
9 + 13/14
Thank you so much for helping me x
To solve this problem, we need to add the given mixed numbers. Here's how to do it step by step:
1. Start by adding the whole numbers together: 3 + 2 + 4 = 9.
2. Next, add the fractions together. To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 14, as it is a multiple of both 7 and 14.
- For the first fraction, 2/7, we already have the denominator we need.
- For the second fraction, 3/14, we need to multiply both the numerator and denominator by 2 to get a denominator of 14. This gives us 6/14.
- For the third fraction, 3/7, we already have the denominator we need.
3. Now that we have the fractions with a common denominator, we can add them: 2/7 + 6/14 + 3/7.
4. To add the fractions, add the numerators together and keep the common denominator: (2 + 6 + 3)/14 = 11/14.
5. Finally, add the whole number and the fraction together: 9 + 11/14.
The final answer is given as a mixed number, so we need to express the fraction in mixed form:
To do that, we divide the numerator (11) by the denominator (14) to get the whole number and the remainder. The quotient is 0, and the remainder is 11.
Therefore, the expression 11/14 is equivalent to 0 and 11/14.
Adding this to the whole number, we get 9 and 11/14.
Comparing this to the answer options given:
A: 9 and 8/14 - Incorrect
B: 10 and 1/7 - Incorrect
C: 9 and 3/7 - Incorrect
D: 9 and 13/14 - Correct
So, the correct answer is D: 9 and 13/14.