Question - Adding Fractions with Different Denominators
Solution:
Certainly. To solve the addition of $$ \frac{2}{8} + \frac{2}{4} $$, you'll need to find a common denominator for both fractions. The smallest common denominator that 8 and 4 share is 8.For the first fraction, $$ \frac{2}{8} $$, you don't need to change anything because it's already in eighths.For the second fraction, to convert $$ \frac{2}{4} $$ into eighths, you multiply both the numerator (top number) and denominator (bottom number) by 2. This gives $$ \frac{2 \times 2}{4 \times 2} = \frac{4}{8} $$.Now you can add the two fractions:$$ \frac{2}{8} + \frac{4}{8} = \frac{2 + 4}{8} = \frac{6}{8} $$.Finally, you can simplify $$ \frac{6}{8} $$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2:$$ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} $$.So, $$ \frac{2}{8} + \frac{2}{4} = \frac{3}{4} $$.
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