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Solve for the missing number in the number bond diagram: 9 5/8 = 8 1/8 + X

Mathematics

ScanSolve AI Answer

Answer

112\mathbf{1\frac{1}{2}}

Step-by-step solution

4 steps

This problem uses a number bond diagram. In this type of diagram, the larger of the two bottom numbers is typically the sum of the smaller bottom number and the top number.

Let the missing number in the red circle be XX.
The given numbers are:

  • Top number: 8188\frac{1}{8}
  • Bottom left number: 9589\frac{5}{8}
  • Bottom right number: XX

Since 9589\frac{5}{8} is greater than 8188\frac{1}{8}, we assume 9589\frac{5}{8} is the sum of 8188\frac{1}{8} and XX.

  1. Set up the equation based on the relationship.

    958=818+X9\frac{5}{8} = 8\frac{1}{8} + X
  2. Isolate XX by subtracting 8188\frac{1}{8} from both sides of the equation.

    X=958−818X = 9\frac{5}{8} - 8\frac{1}{8}
  3. Subtract the whole number parts and the fractional parts separately.

    X=(9−8)+(58−18)X = (9 - 8) + \left(\frac{5}{8} - \frac{1}{8}\right) X=1+5−18X = 1 + \frac{5-1}{8} X=1+48X = 1 + \frac{4}{8}
  4. Simplify the fraction.

    X=1+12X = 1 + \frac{1}{2} X=112X = 1\frac{1}{2}

    The missing number is 1121\frac{1}{2}.

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