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6. \\(\\frac{4}{3} + \\frac{4}{7} =\\)

Question

  1. \\(\frac{4}{3} + \frac{4}{7} =\\)

Explanation:

Step1: Find a common denominator

The denominators are 3 and 7. The least common denominator (LCD) of 3 and 7 is \( 3\times7 = 21 \).

Step2: Rewrite the fractions with the LCD

Rewrite \( \frac{4}{3} \) as \( \frac{4\times7}{3\times7}=\frac{28}{21} \) and \( \frac{4}{7} \) as \( \frac{4\times3}{7\times3}=\frac{12}{21} \).

Step3: Add the fractions

Now add the two fractions: \( \frac{28}{21}+\frac{12}{21}=\frac{28 + 12}{21}=\frac{40}{21} \).

Answer:

\( \frac{40}{21} \)