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Starting from scratch, Shane finished 1/2 of a reading assignment Monday afternoon and another 3/10 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?

User Innovine
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The fraction of the reading assignment finished on Monday afternoon is 1/2, and the fraction finished on Tuesday afternoon is 3/10. To find the total fraction finished by Tuesday night, we add these fractions: 1/2 + 3/10.

To add these fractions, we need a common denominator. The least common multiple (LCM) of 2 and 10 is 10. So, we rewrite the fractions with the common denominator of 10:

1/2 = 5/10
3/10 = 3/10

Now we add the fractions:

5/10 + 3/10 = 8/10

Therefore, by Tuesday night, Shane finished 8/10 of the reading assignment.
User Nihar Sarkar
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