Question - Adding Fractions with Different Denominators
Solution:
The image depicts an addition problem requiring the sum of two fractions: $$ \frac{1}{2} $$ and $$ \frac{3}{8} $$.Here are the steps to solve this problem:1. Find a common denominator for the two fractions. In this case, the smallest number that both denominators (2 and 8) divide into without a remainder is 8.2. Convert each fraction to an equivalent fraction with the common denominator.For the first fraction $$ \frac{1}{2} $$, we multiply both the numerator (top number) and the denominator (bottom number) by 4, because $$ 2 \times 4 = 8 $$. This gives us $$ \frac{4}{8} $$.For the second fraction $$ \frac{3}{8} $$, the denominator is already 8, so we don't need to change it.3. Now we add the numerators of the new fractions with the common denominator:$$ \frac{4}{8} + \frac{3}{8} = \frac{4 + 3}{8} = \frac{7}{8} $$So the sum of the two fractions is $$ \frac{7}{8} $$.
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