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The difference of the greatest and the smallest of the fractions 12\frac{1}{2}, 811\frac{8}{11}, 78\frac{7}{8}, 79\frac{7}{9}, 56\frac{5}{6} is:

Solution

Correct Option: 1

To find the difference between the greatest and smallest fractions, we first identify the greatest and smallest fractions among 12\frac{1}{2}, 811\frac{8}{11}, 78\frac{7}{8}, 79\frac{7}{9}, and 56\frac{5}{6}.

The fractions in decimal form are:

12=0.5\frac{1}{2} = 0.5,

8110.727\frac{8}{11} \approx 0.727,

78=0.875\frac{7}{8} = 0.875,

790.778\frac{7}{9} \approx 0.778,

560.833\frac{5}{6} \approx 0.833.

The greatest fraction is 78\frac{7}{8} and the smallest fraction is 12\frac{1}{2}.

Now, we calculate the difference:

7812=7848=38.\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}.

Thus, the difference of the greatest and the smallest fractions is 38\frac{3}{8}.

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