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Problem 14. What is the missing bottom left number if the top number is 2 rac16 and the bottom right number is 3 rac16? The pattern is (Bottom Left) - (Bottom Right) = Top.

Mathematics

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The pattern for these problems is that the top number is the difference between the two bottom numbers. Based on , the pattern is (Bottom Left) - (Bottom Right) = Top.

  1. Identify the given numbers.

    The top number is 2162\frac{1}{6}.
    The bottom right number is 3163\frac{1}{6}.
    Let the missing bottom left number be XX.

  2. Set up the equation based on the pattern.

    X−316=216X - 3\frac{1}{6} = 2\frac{1}{6}
  3. Isolate XX by adding 3163\frac{1}{6} to both sides of the equation.

    X=216+316X = 2\frac{1}{6} + 3\frac{1}{6}
  4. Add the whole number parts and the fractional parts separately.

    Add the whole numbers: 2+3=52 + 3 = 5.
    Add the fractions: 16+16=26\frac{1}{6} + \frac{1}{6} = \frac{2}{6}.

  5. Combine the whole number and fractional parts, then simplify the fraction.

    X=526X = 5\frac{2}{6}

    Simplify the fraction 26\frac{2}{6} by dividing the numerator and denominator by 2: 2÷26÷2=13\frac{2 \div 2}{6 \div 2} = \frac{1}{3}.

    X=513X = 5\frac{1}{3}

    The missing value for is \boxed{\text{5\frac{1}{3}}}.

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