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What is the difference between the largest and the smallest fractions among and ?

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Detailed Solution

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Given:

Fractions:

Formula Used:

To compare fractions, we can either convert them to decimals or find a common denominator.

Difference = Largest fraction - Smallest fraction

Calculation:

Convert each fraction to a decimal:

= 0.555...

= 0.6363...

= 0.5333...

= 0.6470...

Comparing the decimal values:

Smallest fraction = 0.5333... which corresponds to

Largest fraction = 0.6470... which corresponds to

Difference = Largest fraction - Smallest fraction

Difference =

Find a common denominator (LCM of 17 and 15):

LCM(17, 15) = 17 × 15 = 255

Convert the fractions to have a common denominator:

Difference =

The difference between the largest and the smallest fractions is .

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