High School

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1. $ rac{2}{3} + rac{3}{5} = ?$

A) 5/8
B) 13/15
C) 19/15
D) 6/8

Answer :

To solve the problem [tex]\frac{2}{3} + \frac{3}{5}[/tex], we need to add two fractions with different denominators.

Here's how we can do it step-by-step:

  1. Find a common denominator:

    • The denominators here are 3 and 5. A common denominator is simply the least common multiple (LCM) of these numbers. The LCM of 3 and 5 is 15.

  2. Convert each fraction to an equivalent fraction with the common denominator:

    • For [tex]\frac{2}{3}[/tex]:
      • Multiply the numerator and the denominator by 5 to get [tex]\frac{2 \times 5}{3 \times 5} = \frac{10}{15}[/tex].
    • For [tex]\frac{3}{5}[/tex]:
      • Multiply the numerator and the denominator by 3 to get [tex]\frac{3 \times 3}{5 \times 3} = \frac{9}{15}[/tex].

  3. Add the fractions:

    • Now that they have the same denominator, we can add the fractions:
    • [tex]\frac{10}{15} + \frac{9}{15} = \frac{10+9}{15} = \frac{19}{15}[/tex].

The correct answer is [tex]\frac{19}{15}[/tex], which corresponds to option C) 19/15.

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Rewritten by : Barada