Answer :

To solve the addition of two fractions, [tex]\frac{3}{5} + \frac{1}{15}[/tex], follow these steps:

  1. Identify the Least Common Denominator (LCD):

    The denominators of the fractions are 5 and 15. The least common denominator is the smallest number that both denominators can divide into evenly. Here, the LCD is 15.

  2. Convert the Fractions:

    You need to convert [tex]\frac{3}{5}[/tex] so that it has the denominator of 15. Therefore, multiply both the numerator and the denominator of [tex]\frac{3}{5}[/tex] by 3:

    [tex]\frac{3}{5} \times \frac{3}{3} = \frac{9}{15}[/tex]

    [tex]\frac{1}{15}[/tex] already has the denominator of 15, so there's no need to change it.

  3. Add the Fractions:

    Now that both fractions have the same denominator, you can add them:

    [tex]\frac{9}{15} + \frac{1}{15} = \frac{9 + 1}{15}[/tex]

    [tex]= \frac{10}{15}[/tex]

  4. Simplify the Fraction:

    The fraction [tex]\frac{10}{15}[/tex] can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5:

    [tex]\frac{10 \div 5}{15 \div 5} = \frac{2}{3}[/tex]

Therefore, [tex]\frac{3}{5} + \frac{1}{15} = \frac{2}{3}[/tex].

The calculations in the original question contained an error. The correct answer is [tex]\frac{2}{3}[/tex], not 50.

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