Question

find the sum. simplify your answer.
3 \frac{5}{14} + 3 \frac{5}{7} = \square \frac{\square}{\square}

Explanation:

Step1: Add the whole numbers

The whole numbers are 3 and 3. So, \( 3 + 3 = 6 \).

Step2: Convert the fractions to have a common denominator

The fractions are \( \frac{5}{14} \) and \( \frac{5}{7} \). The common denominator of 14 and 7 is 14. So, \( \frac{5}{7}=\frac{5\times2}{7\times2}=\frac{10}{14} \).

Step3: Add the fractions

Now, add \( \frac{5}{14} \) and \( \frac{10}{14} \). So, \( \frac{5}{14}+\frac{10}{14}=\frac{5 + 10}{14}=\frac{15}{14} \).

Step4: Convert the improper fraction to a mixed number and add to the whole number sum

\( \frac{15}{14}=1\frac{1}{14} \). Now, add this to the sum of the whole numbers (6). So, \( 6+1\frac{1}{14}=7\frac{1}{14} \).

Answer:

\( 7\frac{1}{14} \)