Question

Pete read 2/5 of his book on the first day and 1/4 of his book on the second day. What fraction of the book Pete has left to read after two days of reading

Answer 1

Answer: 7/20

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Work Shown:

2/5 = 8/20 .... multiply top and bottom by 4

1/4 = 5/20 ..... multiply top and bottom by 5

The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.

These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20

After two days, Pete has read 13/20 of the book.

This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.

Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1