Question

evaluate the expression. give your answer in simplest form.

\\(1/4 + 2/5 = ?\\)

• \\(3/20\\)
• \\(13/20\\)
• \\(3/5\\)
• \\(3/4\\)

question 2 (1 point)
evaluate the expression. give your answer in simplest form.

\\(6/7 - 3/5 = ?\\)

• \\(9/35\\)
• \\(1/2\\)
• \\(3/7\\)
• \\(3/2\\)

Explanation:

Find a common denominator and add the fractions

$$ \frac{1}{4} + \frac{2}{5} = \frac{1 \times 5}{4 \times 5} + \frac{2 \times 4}{5 \times 4} = \frac{5}{20} + \frac{8}{20} = \frac{13}{20} $$

Find a common denominator and subtract the fractions

$$ \frac{6}{7} - \frac{3}{5} = \frac{6 \times 5}{7 \times 5} - \frac{3 \times 7}{5 \times 7} = \frac{30}{35} - \frac{21}{35} = \frac{9}{35} $$

Answer:

Question 1

• (A) 3/20
• (B) 13/20 (Correct answer)
• (C) 3/5
• (D) 3/4

Question 2

• (A) 9/35 (Correct answer)
• (B) 1/2
• (C) 3/7
• (D) 3/2