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Simplify. (4)/(3) + (2)/(5) = _____

Simplify.\newline43+25=_____ \frac{4}{3} + \frac{2}{5} = \_\_\_\_\_

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Full solution

Q. Simplify.\newline43+25=_____ \frac{4}{3} + \frac{2}{5} = \_\_\_\_\_
  1. Find LCD: Find a common denominator for the fractions 43\frac{4}{3} and 25\frac{2}{5}. The least common denominator (LCD) for 33 and 55 is 1515.
  2. Convert to 1515: Convert each fraction to an equivalent fraction with the common denominator of 1515. For 43\frac{4}{3}, multiply both the numerator and the denominator by 55 to get (4×5)(3×5)=2015\frac{(4\times5)}{(3\times5)} = \frac{20}{15}. For 25\frac{2}{5}, multiply both the numerator and the denominator by 33 to get (2×3)(5×3)=615\frac{(2\times3)}{(5\times3)} = \frac{6}{15}.
  3. Add fractions: Add the equivalent fractions with the common denominator.\newline2015+615=(20+6)15=2615\frac{20}{15} + \frac{6}{15} = \frac{(20 + 6)}{15} = \frac{26}{15}.
  4. Simplify fraction: Simplify the fraction if possible. 2615\frac{26}{15} is already in its simplest form.

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