Solve the Fraction Addition: 1/5 + 3/10 Step-by-Step

Video Solution

Solution Steps

00:05 Alright, let's solve the problem together.

00:08 We need to find the smallest common denominator.

00:12 So, we'll multiply by 2, to make 10 the common denominator.

00:17 Remember, we multiply both the top and bottom numbers.

00:21 Let's do these multiplications step by step.

00:26 Now, let's add with the common denominator.

00:32 Let's calculate what's on top, the numerator.

00:36 And that's how we find the solution!

Step-by-Step Solution

To solve this problem, let's break it down into clear, manageable steps:

Step 1: Identify the common denominator. Here, the denominators are 5 and 10. The least common denominator (LCD) is 10.
Step 2: Convert $\frac{1}{5}$ to an equivalent fraction with a denominator of 10. This means multiplying both the numerator and denominator by 2. Thus, $\frac{1}{5} = \frac{2}{10}$ .
Step 3: We already have $\frac{3}{10}$ with a denominator of 10, so no conversion is necessary.
Step 4: Add the two fractions: $\frac{2}{10} + \frac{3}{10} = \frac{2 + 3}{10} = \frac{5}{10}$ .
Step 5: Verify if the fraction can be simplified. Here, $\frac{5}{10}$ is already in its simplest form equivalent to $\frac{1}{2}$ , but, as part of the answer choices, it appears as $\frac{5}{10}$ .

Therefore, the correct answer is $\frac{5}{10}$ .