Solve Mixed Number Subtraction: 2⅓ - 1⅔ Step-by-Step

213123= 2\frac{1}{3}-1\frac{2}{3}=

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Step-by-step video solution

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00:00 Solve
00:04 Break down each mixed fraction into a whole number and remainder
00:26 Convert from whole numbers to appropriate proper fractions
00:42 Add using the common denominator
01:00 Subtract using the common denominator
01:14 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

213123= 2\frac{1}{3}-1\frac{2}{3}=

2

Step-by-step solution

To solve the problem 2131232\frac{1}{3} - 1\frac{2}{3}, we'll perform the following steps:

  • Step 1: Subtract the integer parts: 21=12 - 1 = 1.
  • Step 2: Subtract the fractional parts: 1323\frac{1}{3} - \frac{2}{3}.

To calculate 1323\frac{1}{3} - \frac{2}{3}:

Since the fractions have a common denominator, subtract only the numerators:
12=11 - 2 = -1.
Therefore, 1323=13\frac{1}{3} - \frac{2}{3} = -\frac{1}{3}.

Now combine the results:

The subtraction results in 1131 - \frac{1}{3}.

To simplify, note 1=331 = \frac{3}{3}.

Thus, 113=3313=231 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{2}{3}.

Therefore, the solution to 2131232\frac{1}{3} - 1\frac{2}{3} is 23\frac{2}{3}.

3

Final Answer

23 \frac{2}{3}

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\( 2\frac{2}{5}+2\frac{2}{5}= \)

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