Evaluate the sum:
`7/(10)+3/(5)`

Answer

To evaluate the sum \( \frac{7}{10} + \frac{3}{5} \), we will follow these steps:

### Step 1: Identify the fractions
We have two fractions: \( \frac{7}{10} \) and \( \frac{3}{5} \).

### Step 2: Find the least common multiple (LCM) of the denominators
The denominators are 10 and 5. The LCM of 10 and 5 is 10.

### Step 3: Rewrite the fractions with the common denominator
Since the LCM is 10, we can keep \( \frac{7}{10} \) as it is. For \( \frac{3}{5} \), we need to convert it to have a denominator of 10.

To do this, we multiply both the numerator and the denominator of \( \frac{3}{5} \) by 2:
\[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]

### Step 4: Add the fractions
Now we can add the two fractions:
\[ \frac{7}{10} + \frac{6}{10} = \frac{7 + 6}{10} = \frac{13}{10} \]

### Step 5: Write the final answer
The sum \( \frac{7}{10} + \frac{3}{5} \) is equal to \( \frac{13}{10} \).

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