Adding Fractions with Unlike Denominators Math Example 3

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Example 3

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Add 25+37\frac{2}{5} + \frac{3}{7}.

Solution

  1. 1
    LCD of 5 and 7 is 35. Convert: 25=1435\frac{2}{5} = \frac{14}{35} and 37=1535\frac{3}{7} = \frac{15}{35}.
  2. 2
    Add: 1435+1535=2935\frac{14}{35} + \frac{15}{35} = \frac{29}{35}.

Answer

2935\frac{29}{35}
When the denominators share no common factors, the LCD is simply their product.

About Adding Fractions with Unlike Denominators

Adding fractions with different denominators by first rewriting them with a common denominator (usually the LCD), then adding numerators.

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