Question

quiz 1.2.1 - adding and subtracting ration

value: 1

simplify
\\(\frac{2}{5} + \frac{3}{4}\\)

a. \\(\frac{5}{9}\\)
b. \\(\frac{6}{15}\\)
c. \\(\frac{23}{20}\\)
d. \\(\frac{7}{18}\\)

Explanation:

Find the common denominator

$$ \text{LCM}(5, 4) = 20 $$

Convert the fractions

$$
LATEXBLOCK0
$$

Add the numerators

$$ \frac{8}{20} + \frac{15}{20} = \frac{8 + 15}{20} = \frac{23}{20} $$

Answer:

• a. \(\frac{5}{9}\)
• b. \(\frac{6}{15}\)
• c. \(\frac{23}{20}\) (Correct answer)
• d. \(\frac{7}{18}\)