Answers

2015-09-18T15:06:53+08:00
To do the first one, convert the mixed number to an improper fraction, so that it would be easy for us to do it.

3 \frac{1}{5} * 2 \frac{1}{5} = 5 (3)+1 and 5(2)+1  \\  \\ 
=  \frac{16}{5} *  \frac{11}{5}  \\  \\ 
=  \frac{16 * 11}{5 *  5}  \\  \\ 
=  \frac{176}{25}  \\  \\ 
= 7 \frac{1}{25}

Second one, same method.

2 \frac{4}{7} * 2 \frac{7}{8} = 7 (2)+4 and 8(2)+7 \\ \\ = \frac{18}{7} * \frac{23}{8} \\ \\ = \frac{18 * 23}{7 * 8} \\ \\ = \frac{414}{56}\\ \\ = 7 \frac{22}{56}

Third, one, same method. Again.

9 \frac{1}{8} * 2 \frac{5}{6} = 8 (9)+1 and 6(2)+5 \\ \\ = \frac{73}{8} * \frac{17}{6} \\ \\ = \frac{73 * 17}{8 * 6} \\ \\ = \frac{1241}{48}\\ \\ = 25 \frac{41}{48}



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