Solve for the Missing Addend: 3⅔ + ? = 6

Question

323+?=6 3\frac{2}{3}+?=6

Video Solution

Step-by-Step Solution

To solve 323+?=63\frac{2}{3} + ? = 6, we need to determine what number, when added to the mixed fraction 3233\frac{2}{3}, results in 6.

Follow these steps:

  • Convert the mixed number to an improper fraction:
    323=3+23=3×3+23=9+23=1133\frac{2}{3} = 3 + \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}.
  • Determine the number needed to reach 6:
    We rewrite the equation as 61136 - \frac{11}{3}.
  • Convert 6 to a fraction with a denominator of 3:
    6=6×33=1836 = \frac{6 \times 3}{3} = \frac{18}{3}.
  • Subtract the improper fraction from 6:
    183113=18113=73\frac{18}{3} - \frac{11}{3} = \frac{18 - 11}{3} = \frac{7}{3}.
  • Convert the result back to a mixed number:
    73=213\frac{7}{3} = 2 \frac{1}{3} since 7÷3=27 \div 3 = 2 remainder 11.

Therefore, the missing number is 2132\frac{1}{3}.

The correct answer from the given choices is Option 3: 2132\frac{1}{3}.

Answer

213 2\frac{1}{3}