To find the total fraction of the book Amir reads on Monday and Tuesday, you need to sum the fractions he read on those days:
\[ \frac{3}{8} + \frac{2}{7} \]
To add these fractions, you need a common denominator. The least common multiple (LCM) of the denominators 8 and 7 is 56.
Now, convert each fraction to have the common denominator of 56:
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Convert \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56} \]
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Convert \( \frac{2}{7} \): \[ \frac{2}{7} = \frac{2 \times 8}{7 \times 8} = \frac{16}{56} \]
Now add the two fractions: \[ \frac{21}{56} + \frac{16}{56} = \frac{21 + 16}{56} = \frac{37}{56} \]
Thus, the expression representing the total fraction of the book Amir reads on Monday and Tuesday is:
\[ \frac{37}{56} \]