Solve the following exercise:
51+103=?
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 51 to an equivalent fraction with a denominator of 10. This means multiplying both the numerator and denominator by 2. Thus, 51=102.
- Step 3: We already have 103 with a denominator of 10, so no conversion is necessary.
- Step 4: Add the two fractions: 102+103=102+3=105.
- Step 5: Verify if the fraction can be simplified. Here, 105 is already in its simplest form equivalent to 21, but, as part of the answer choices, it appears as 105.
Therefore, the correct answer is 105.