Question

Решите с объяснением

Answer 1

Ответ:

$4. \\ 1)2 \frac{2}{3} + 1 \frac{3}{7} = 2 \frac{2 \times 7}{21} + 1 \frac{3 \times 3}{21} =$

$2 \frac{14}{21} + 1 \frac{9}{21} = 3 \frac{23}{21} = 4 \frac{2}{21}$

$2)4 \frac{2}{21} x \times 21 = 58 \\ 4 \frac{2}{21} x = 58 \div 21$

$4 \frac{2}{21} x = 2 \frac{16}{21} \\ x = 2 \frac{16}{21} \div 4 \frac{2}{21}$

$x = \frac{58}{21} \div \frac{86}{21} = \frac{58}{21} \times \frac{21}{86} \\ x = \frac{58}{86} = \frac{29}{43}$

58/86 сократили на 2, то есть Разделили на 2

Ответ:х=29/43

5.

$1)2 \frac{5}{10} - 1 \frac{1}{6} = 2 \frac{5 \times 3}{30} - 1 \frac{1 \times 5}{30} = \\ = 2 \frac{15}{30} - 1 \frac{5}{30} = 1 \frac{10}{30} = 1 \frac{1}{3}$

$2)(1 \frac{1}{3} ) {}^{2} = ( \frac{4}{3} ) {}^{2} = \frac{16}{9} = 1 \frac{7}{9}$

$3)1 \frac{7}{9} \times \frac{27}{32} = \frac{16}{9} \times \frac{27}{32} = \frac{3}{2} = 1 \frac{1}{2}$

$4)1 \frac{1}{2} - 1 \frac{6}{13} = 1 \frac{13}{26} - 1 \frac{12}{26} = \frac{1}{26}$