Question

Ex 4,5 și 6 va rog,dau coroana!

Answer 1

4a)
$13.2 = 13 \frac{2}{10} = \frac{13 \times 10 + 2}{10} = \frac{132}{10}$
B)
$2.49 = 2 \frac{49}{100} = \frac{2 \times 100 + 49}{100} = \frac{249}{100}$
C)
$1.75 = 1 \frac{75}{100} = \frac{1 \times 100 + 75}{100} = \frac{175}{100}$
D)
$11.003 = 11 \frac{3}{1000} = \\ \frac{11 \times 1000 + 3}{1000} = \frac{11003}{1000}$
E)
$3.0004 = 3 \frac{4}{10000} = \\ \frac{3 \times 10000 + 4}{10000} = \frac{30004}{10000}$


5)
$5.(5) = 5 \frac{5}{9} = \frac{5 \times 9 + 5}{9} = \frac{45 + 5}{9} \\ = \frac{50}{9}$
$7.(4) = 7 \frac{4}{9} = \frac{7 \times 9 + 4}{9} = \\ \frac{63 + 4}{9} = \frac{67}{9}$
$0.(23) = 0 \frac{23}{99} = \\ \frac{0 \times 99 + 23}{99} = \frac{23}{99}$
$0.(40) = 0 \frac{40}{99} = \\ \frac{0 \times 99 + 40}{99} = \frac{40}{99}$




6)
$3.2(4) = 3 \frac{24 - 2}{90} = \\ \frac{3 \times 90 + 22}{90} =$
$= \frac{270 + 22}{90} = \frac{292}{90} \div 2 = \frac{146}{45}$
$5.3(5) = 5 \frac{35 - 3}{90} = \\ \frac{5 \times 90 + 32}{90} = \frac{450 + 32}{90}$
$= \frac{482}{90} \div 2= \frac{241}{45}$

$2.2(8) = 2 \frac{28 - 2}{90} = \\ \frac{2 \times 90 + 26}{90} = \frac{180 + 26}{90}$
$= \frac{206}{90} \div2 = \frac{103}{45}$
$4.9(05) = 4 \frac{905 - 9}{990} = \\ \\ \frac{4 \times 990 + 896}{990}$
$= \frac{3960 + 896}{990} = \frac{4856}{990} \div 2 = \frac{2428}{495}$
$3.0(24) = 3 \frac{24 - 0}{990} = \\ \frac{3 \times 990 + 24}{990} = \frac{2970 + 24}{990}$
$= \frac{2994}{990} \div 6 = \frac{499}{165}$
$1.2(16) = 1 \frac{216 - 2}{990} = \\ \frac{1 \times 990 + 214}{990} = \frac{990 + 214}{990}$
$\frac{1204}{990} \div 2 = \frac{602}{495}$