Question

№1.
a)3/5*4/5.
б)4/7*5/8
в)11/15*5/9
г)(4/5)²
д)2/3:7/11
е)12/25:4/5
ж)5/8:4
з)6:3/8
№2
а)15/16*(24/25:9/10)
б)14/15:7/5*9/10
в)4/5*5/6*6/7*7/8
СРОЧНО ПОМОГИТЕ РЕШИТЬ КОНТРОЛЬНУЮ

Answer 1

Ответ:

№1

а)

$\frac{3}{5} \times \frac{4}{5} = \frac{3 \times 4}{5 \times 5} = \frac{12}{25}$

б)

$\frac{4}{7} \times \frac{5}{8} = \frac{4 \times 5}{7 \times 8} = \frac{1 \times 5}{7 \times 2} = \frac{5}{14}$

в)

$\frac{11}{15} \times \frac{5}{9} = \frac{11 \times 5}{15 \times 9} = \frac{11 \times 1}{3 \times 9} = \frac{11}{27}$

г)

$( \frac{4}{5} ) {}^{2} = \frac{ {4}^{2} }{ {5}^{2} } = \frac{16}{25}$

д)

$\frac{2}{3 } \div \frac{7}{11} = \frac{2 \times 11}{3 \times 7} = \frac{22}{21} = 1 \frac{1}{21}$

е)

$\frac{12}{25} \div \frac{4}{5} = \frac{12 \times 5}{25 \times4} = \frac{3 \times 1}{5 \times 1} = \frac{3}{5}$

ж)

$\frac{5}{8} \div 4 = \frac{5}{8 \times 4} = \frac{5}{32}$

з)

$6 \div \frac{3}{8} = \frac{6 \times 8}{3} = \frac{2 \times 8}{1} = 16$

№2

а)

$\frac{15}{16} \times ( \frac{24}{25} \div \frac{9}{10} ) = \frac{15}{16} \times ( \frac{24 \times 10}{25 \times 9} ) = \frac{15}{16} \times ( \frac{8 \times 2}{5 \times 3} ) = \frac{15}{16} \times \frac{16}{15} = \frac{16 \times 16}{16 \times 15} = \frac{1 \times 1}{1 \times 1} = 1$

б)

$\frac{14}{15 } \div \frac{7}{5} \times \frac{9}{10} = \frac{14 \times 5}{15 \times 7} \times \frac{9}{1 0} = \frac{2 \times 1}{3 \times 1} \times \frac{9}{10} = \frac{2}{3} \times \frac{9}{10} = \frac{2 \times 9}{3 \times 10} = \frac{1 \times 3}{1 \times 5} = \frac{3}{5}$

в)

$\frac{4}{5} \times \frac{5}{6} \times \frac{6}{7} \times \frac{7}{8} = \frac{4 \times 5}{5 \times 6} \times \frac{6}{7} \times \frac{7}{8} = \frac{2 \times 1}{1 \times 3} \times \frac{6}{7} \times \frac{7}{8} = \frac{2}{3} \times \frac{6}{7} \times \frac{7}{8} = \frac{2 \times 6}{3 \times 7} \times \frac{7}{8} = \frac{2\times 2}{1 \times 7} \times \frac{7}{8 } = \frac{4}{7} \times \frac{7}{8} = \frac{4 \times 7}{7 \times 8} = \frac{1 \times 1}{1 \times 2} = \frac{1}{2}$