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Find the missing value for problem 15, given the pattern (Bottom Left) - (Bottom Right) = Top, and the values Top = 2 1/4 and Bottom Right = 10 3/4.

Mathematics

ScanSolve AI Answer

Answer

13\text{13}

Step-by-step solution

5 steps

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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 previous problems (13, 14, and 17), the consistent pattern is (Bottom Left) - (Bottom Right) = Top.

  1. Identify the given numbers and the missing value.

    The top number is 2142\frac{1}{4}.
    The bottom right number is 103410\frac{3}{4}.
    Let the missing bottom left number be XX.

  2. Set up the equation based on the established pattern

    (Bottom Left) - (Bottom Right) = Top.

    X−1034=214X - 10\frac{3}{4} = 2\frac{1}{4}
  3. Isolate XX by adding 103410\frac{3}{4} to both sides of the equation.

    X=214+1034X = 2\frac{1}{4} + 10\frac{3}{4}
  4. Add the whole number parts and the fractional parts separately.

    Add the whole numbers: 2+10=122 + 10 = 12.
    Add the fractions: 14+34=1+34=44\frac{1}{4} + \frac{3}{4} = \frac{1+3}{4} = \frac{4}{4}.

  5. Simplify the fraction and combine the parts.

    The fraction 44\frac{4}{4} is equal to 1.
    So, X=12+1=13X = 12 + 1 = 13.

    The missing value for is 13\boxed{\text{13}}.

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