Solve: 5 minus 2⅓ - Mixed Number Subtraction Problem

Question

5213= 5-2\frac{1}{3}=

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the mixed number 2132\frac{1}{3} to an improper fraction.
  • Step 2: Subtract the improper fraction from the whole number 5.
  • Step 3: Convert the resulting improper fraction back to a mixed number.

Now, let's work through each step:

Step 1: Convert the mixed number to an improper fraction. For 2132\frac{1}{3}, multiply the whole number 2 by the denominator 3 and add the numerator 1: (2×3)+1=7(2 \times 3) + 1 = 7. Thus, 2132\frac{1}{3} is 73\frac{7}{3}.

Step 2: Subtract 73\frac{7}{3} from 5. First, convert 5 to a fraction with the same denominator: 5=1535 = \frac{15}{3}. Subtract: 15373=83\frac{15}{3} - \frac{7}{3} = \frac{8}{3}.

Step 3: Convert 83\frac{8}{3} back to a mixed number. Divide 8 by 3: 8 divided by 3 is 2 with a remainder of 2, so 83=223\frac{8}{3} = 2\frac{2}{3}.

Therefore, the solution to the problem is 2232\frac{2}{3}.

Answer

223 2\frac{2}{3}