Question

1) 6 1/3 (-1 2/11);
2) -1 3/7 2 4/5;
3) -2 2/7 3 1/4;
4)1 3/5(-3 3/4);
5) 2 1/2 (-2 2/15) ;
6) -1 9/11 2 19/40.​

Answer 1

1)

$6 \frac{1}{3} \times ( - 1 \frac{2}{11} ) = \frac{19}{3} \times ( - \frac{13}{11} ) = - \frac{19 \times 13}{3 \times 11} = - \frac{247}{33} = - 7 \frac{16}{33}$

2)

$- 1 \frac{3}{7} \times 2 \frac{4}{5} = - \frac{10}{7} \times \frac{14}{5} = - \frac{10 \times 14}{7 \times 5} = - \frac{2 \times 5 \: \times \: 2 \times 7}{7 \: \times \: 5} = - \frac{4}{1} = - 4$

3)

$- 2 \frac{2}{7} \times 3 \frac{1}{4} = - \frac{16}{7} \times \frac{13}{4} = - \frac{16 \times 13}{7 \times 4} = - \frac{4 \times 4 \: \times \: 13}{7 \: \times \: 4} = - \frac{4 \times 13}{7} = - \frac{52}{7} = - 7 \frac{3}{7}$

4)

$1 \frac{3}{5} \times ( - 3 \frac{3}{4} ) = \frac{8}{5} \times ( - \frac{15}{4} ) = - \frac{8 \times 15}{5 \times 4} = - \frac{2 \times 4 \: \times \: 3 \times 5}{5 \: \times \: 4} = - \frac{2 \times 3}{1} = - \frac{6}{1} = - 6$

5)

$2 \frac{1}{2} \times ( - 2 \frac{2}{15} ) = \frac{5}{2} \times ( - \frac{32}{15} ) = - \frac{5 \times 32}{2 \times 15} = - \frac{5 \: \times \: 2 \times 16}{2 \: \times \: 3 \times 5} = - \frac{16}{3} = - 5\frac{1}{3}$

6)

$- 1 \frac{9}{11} \times 2 \frac{19}{40} = - \frac{20}{11} \times \frac{99}{40} = - \frac{20 \times 99}{11 \times 40} = - \frac{20 \: \times \: 9 \times 11}{11 \: \times \: 2 \times 20} = - \frac{9}{2} = - 4 \frac{1}{2}$