Question

(10- 1 17/27: 22/15):4 4/9​

Answer 1

Ответ:

(10 - 1 17/27: 22/15):4 4/9​ =

$(10-1\frac{17}{27}:\frac{22}{15}):4\frac{4}{9}= (10-\frac{44}{27}*\frac{15}{22}):\frac{40}{9}= (10-\frac{2}{27}*15):\frac{40}{9}=(10-\frac{2}{9}*5)*\frac{9}{40}=\\\\(10-\frac{10}{9})*\frac{9}{40}=(\frac{90-10}{9})*\frac{9}{40}=\frac{80}{9}*\frac{9}{40}=80*\frac{1}{40}=\frac{80}{40} = 2$

Answer 2

Пошаговое объяснение:

$1)1 \frac{17}{27} \div \frac{22}{15} = \frac{17 + 1 \times 27}{27} \div \frac{22}{15} = \frac{44}{27} \div \frac{22}{15} = \frac{44}{27} \times \frac{15}{22} = \frac{44 \times 15}{27 \times 22} = \frac{660}{594} = \frac{10 \times 66}{9 \times 66} = \frac{10}{9} = \frac{1 \times 9 + 1}{9} = 1 \frac{1}{9}$

$2)10 - 1 \frac{1}{9} = 10 - 1 - \frac{1}{9} = 9 - \frac{1}{9} = \frac{9 \times 9}{9} - \frac{1}{9} = \frac{81}{9} - \frac{1}{9} = \frac{81 - 1}{9} = \frac{80}{9} = \frac{8 \times 9 + 8}{9} = 8 \frac{8}{9}$

$3)8 \frac{8}{9} \div 4 \frac{4}{9} = \frac{8 + 8 \times 9}{9} \div \frac{4 + 4 \times 9}{9} = \frac{80}{9} \div \frac{40}{9} = \frac{80}{9} \times \frac{9}{40} = \frac{80 \times 9}{9 \times 40} = \frac{720}{360} = \frac{2 \times 360}{360} = 2$