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Evaluate the expression shown below and write your answer as a fraction in simplest form. (5)/(7)-(3)/(7) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline57−37 \frac{5}{7}-\frac{3}{7} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline57−37 \frac{5}{7}-\frac{3}{7} \newlineAnswer:
  1. Identify Operation: Identify the operation to be performed on the fractions.\newlineSince both fractions have the same denominator, we can subtract the numerators directly.
  2. Subtract Numerators: Subtract the numerators of the fractions. (57)−(37)=5−37(\frac{5}{7}) - (\frac{3}{7}) = \frac{5 - 3}{7}
  3. Perform Subtraction: Perform the subtraction of the numerators. 5−3=25 - 3 = 2
  4. Write Result as Fraction: Write the result as a fraction with the common denominator.\newline(5−3)/7=2/7(5 - 3)/7 = 2/7
  5. Check for Simplification: Check if the fraction can be simplified further. Since the numerator 22 and the denominator 77 have no common factors other than 11, the fraction is already in its simplest form.

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