Solve Fraction Addition: 1/5 + 7/10 Step-by-Step

Solve the following exercise:

$\frac{1}{5}+\frac{7}{10}=\text{?}$

To solve this problem, we'll follow these steps:

• Step 1: Identify the least common denominator of the fractions.
• Step 2: Convert each fraction to have this common denominator.
• Step 3: Add the converted fractions.

Now, let's work through each step:
Step 1: The least common denominator of 5 and 10 is 10.
Step 2: Convert $\frac{1}{5}$ to a fraction with a denominator of 10. To do this, multiply both the numerator and denominator by 2:
$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}$
Step 3: Add the converted fraction $\frac{2}{10}$ to $\frac{7}{10}$:
$\frac{2}{10} + \frac{7}{10} = \frac{2 + 7}{10} = \frac{9}{10}$

Therefore, the solution to the problem is $\frac{9}{10}$.