Solve: Adding Mixed Numbers 13 3/10 + 2 1/2

Question

13310+212= 13\frac{3}{10}+2\frac{1}{2}=

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the integer and fractional parts of each mixed number.
  • Step 2: Find a common denominator for the fractional parts.
  • Step 3: Add the fractional parts.
  • Step 4: Add the integer parts.
  • Step 5: Combine the results from Steps 3 and 4.

Now, let's work through each step:

Step 1: Identify the integer and fractional parts:
1331013\frac{3}{10} has an integer part of 13 and a fractional part of 310\frac{3}{10}.
2122\frac{1}{2} has an integer part of 2 and a fractional part of 12\frac{1}{2}.

Step 2: Find a common denominator for 310\frac{3}{10} and 12\frac{1}{2}.
The denominators are 10 and 2, with the common denominator being 10. Convert 12\frac{1}{2} to an equivalent fraction with this common denominator: 12=510\frac{1}{2} = \frac{5}{10}.

Step 3: Add the fractional parts:
310+510=810\frac{3}{10} + \frac{5}{10} = \frac{8}{10}.

Step 4: Add the integer parts:
13+2=1513 + 2 = 15.

Step 5: Combine the integer sum and fractional sum:
The result is 1581015\frac{8}{10}.

Therefore, the solution to the problem is 1581015\frac{8}{10}.

Answer

15810 15\frac{8}{10}