Let's translate each problem into mathematical symbols step-by-step.
### Problem 1
Statement: 7 is added to the sum of [tex]\(\frac{4}{5}\)[/tex] and [tex]\(\frac{6}{7}\)[/tex].
Translation:
[tex]\[ 7 + \left( \frac{4}{5} + \frac{6}{7} \right) \][/tex]
### Problem 4
Statement: [tex]\(6 \frac{7}{8}\)[/tex] decreased by [tex]\(2 \frac{2}{5}\)[/tex].
Translation:
[tex]\[ 6 \frac{7}{8} - 2 \frac{2}{5} \][/tex]
or more detailed:
[tex]\[ 6 + \frac{7}{8} - \left( 2 + \frac{2}{5} \right) \][/tex]
### Problem 2
Statement: [tex]\(2 \frac{3}{4}\)[/tex] subtracted from 11 is equal to [tex]\(8 \frac{1}{4}\)[/tex].
Translation:
[tex]\[ 11 - 2 \frac{3}{4} = 8 \frac{1}{4} \][/tex]
or more detailed:
[tex]\[ 11 - \left( 2 + \frac{3}{4} \right) = 8 + \frac{1}{4} \][/tex]
### Problem 5
Statement: 14 increased by [tex]\(14 \frac{5}{7}\)[/tex].
Translation:
[tex]\[ 14 + 14 \frac{5}{7} \][/tex]
or more detailed:
[tex]\[ 14 + 14 + \frac{5}{7} \][/tex]
### Problem 3
Statement: The total of [tex]\(8 \frac{4}{7}\)[/tex] and [tex]\(\frac{11}{14}\)[/tex].
Translation:
[tex]\[ 8 \frac{4}{7} + \frac{11}{14} \][/tex]
or more detailed:
[tex]\[ 8 + \frac{4}{7} + \frac{11}{14} \][/tex]
To summarize, the translations are:
1. [tex]\( 7 + \left( \frac{4}{5} + \frac{6}{7} \right) \)[/tex]
2. [tex]\( 11 - \left( 2 + \frac{3}{4} \right) = 8 + \frac{1}{4} \)[/tex]
3. [tex]\( 8 + \frac{4}{7} + \frac{11}{14} \)[/tex]
4. [tex]\( 6 + \frac{7}{8} - \left( 2 + \frac{2}{5} \right) \)[/tex]
5. [tex]\( 14 + 14 + \frac{5}{7} \)[/tex]
