Question

Amir reads 3/8
of a book on Monday and 2/7
of the same book on Tuesday.

Which expression represents the fraction of the book Amir reads on Monday and Tuesday?

Answer 1

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:

1. Convert \( \frac{3}{8} \):
\[
\frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56}
\]

2. 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:

\[
\frac{37}{56}
\]