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Nathan found two worms in the yard and measured them with a ruler. One worm was 4/5 of an inch long. The other worm was 1/10 of an inch long. How much longer was the longer worm? Write your answer as a fraction or as a whole or mixed number.

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Final answer:

The longer worm is 7/10 of an inch longer than the shorter worm.

Step-by-step explanation:

To find the difference in length between the two worms, we subtract the length of the shorter worm from the length of the longer worm. The longer worm is 4/5 of an inch long and the shorter worm is 1/10 of an inch long. So, the difference in length is (4/5) - (1/10).

To subtract fractions, we need a common denominator. The common denominator of 5 and 10 is 10. So, we rewrite the fractions with the common denominator: (4/5) - (1/10) = (8/10) - (1/10).

Now, we can subtract the fractions: (8/10) - (1/10) = 7/10. Therefore, the longer worm is 7/10 of an inch longer than the shorter worm.

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