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

Question

Solve the following exercise:

15+310=? \frac{1}{5}+\frac{3}{10}=\text{?}

Video Solution

Solution Steps

00:00 Solution
00:03 We want to find the least common denominator
00:06 So we'll multiply by 2 for the common denominator 10
00:09 Remember to multiply both numerator and denominator
00:15 Let's calculate the multiplications
00:21 Let's add under common denominator
00:27 Let's calculate the numerator
00:30 And this is the solution to the question

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 15 \frac{1}{5} to an equivalent fraction with a denominator of 10. This means multiplying both the numerator and denominator by 2. Thus, 15=210 \frac{1}{5} = \frac{2}{10} .
  • Step 3: We already have 310 \frac{3}{10} with a denominator of 10, so no conversion is necessary.
  • Step 4: Add the two fractions: 210+310=2+310=510 \frac{2}{10} + \frac{3}{10} = \frac{2 + 3}{10} = \frac{5}{10} .
  • Step 5: Verify if the fraction can be simplified. Here, 510 \frac{5}{10} is already in its simplest form equivalent to 12 \frac{1}{2} , but, as part of the answer choices, it appears as 510 \frac{5}{10} .

Therefore, the correct answer is 510 \frac{5}{10} .

Answer

510 \frac{5}{10}