Questions: Solve and simplify. Express the 3 / 4 + 2 / 5 = ? 5 / 9 13 / 20 13 / 4

Transcript text: Solve and simplify. Express the \[ 3 / 4+2 / 5=? \] $5 / 9$ $13 / 20$ $13 / 4$

Solution

Solution Steps

Step 1: Find a Common Denominator

To add the fractions $ \frac{3}{4} $ and $ \frac{2}{5} $, we need a common denominator. The least common denominator (LCD) of 4 and 5 is 20.

Step 2: Convert Fractions to the Common Denominator

Convert $ \frac{3}{4} $ and $ \frac{2}{5} $ to equivalent fractions with the denominator 20: \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \] \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]

Step 3: Add the Fractions

Now, add the two fractions: \[ \frac{15}{20} + \frac{8}{20} = \frac{15 + 8}{20} = \frac{23}{20} \]

Final Answer

The simplified sum of $ \frac{3}{4} + \frac{2}{5} $ is: \[ \boxed{\frac{23}{20}} \]

The correct choice from the given options is: \[ \boxed{\text{None of the above}} \]

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