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Answer:

[tex]-1\frac{13}{14}[/tex]

Step-by-step explanation:

[tex]1\frac{3}{7} +[-3\frac{5}{14} ][/tex]

[tex]\frac{10}{7} +[\frac{-47}{14} ][/tex]

[tex]\frac{20}{14} -\frac{47}{14}[/tex]

[tex]\frac{20-47}{14}[/tex]

[tex]\frac{-27}{14}[/tex]

[tex]-1\frac{13}{14}[/tex]

The value of the resolved fraction is 95/14

Additions of Fraction

We are given two fractions, but to solve them, we have to convert the from mixed fractions to improper fractions and then add them up together.

Conversion of Mixed Fractions to Improper Fractions

Given that

  • [tex]1\frac{3}{7} = \frac{10}{7}[/tex]
  • [tex]-3\frac{5}{14} =\frac{75}{14}[/tex]

We can proceed to add this and and get the final value.

But we need to first of all find a value that is a factor of 7 and 14.

The factor in this case would be 14

[tex]\frac{10}{7} + \frac{75}{14}\\ \frac{(2*10)+75}{14}\\ \frac{20+75}{14}\\ \frac{95}{14}\\[/tex]

The answer to this question is 95/14.

Learn more on addition of fractions here;

https://brainly.com/question/11562149

https://brainly.com/question/11408596

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