Solve Mixed Number Addition: 5⅖ + 2⅕ Step by Step

525+215= 5\frac{2}{5}+2\frac{1}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:05 First, let's break down each mixed fraction into its whole number and fraction
00:18 Let's use the commutative property and arrange the exercise in a convenient way to solve
00:30 Let's calculate the sum of the whole numbers
00:36 Let's add using the common denominator
00:44 This is the sum of the fractions, now let's add it to the sum of the numbers
00:48 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

525+215= 5\frac{2}{5}+2\frac{1}{5}=

2

Step-by-step solution

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

  • Step 1: Add the whole number parts.
  • Step 2: Add the fractional parts.
  • Step 3: Combine results and simplify if necessary.

Now, let's work through each step:
Step 1: The mixed numbers are 5255\frac{2}{5} and 2152\frac{1}{5}. First, add the whole number parts: 5+2=75 + 2 = 7.
Step 2: Next, add the fractional parts: 25+15=35\frac{2}{5} + \frac{1}{5} = \frac{3}{5}. Since the denominators are the same, just add the numerators.
Step 3: Combine these sums to form the mixed number: 7+35=7357 + \frac{3}{5} = 7\frac{3}{5}.

Therefore, the solution to the problem is 735 7\frac{3}{5} .

3

Final Answer

735 7\frac{3}{5}

Practice Quiz

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\( 10\frac{1}{2}-\frac{1}{2}= \)

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