Question

1) 4 intreg $\frac{1}{7}$+2,72;
2) 15,94-16 intreg $\frac{9}{11}$;
3) -2 intreg $\frac{2}{3}$ +3,(7);
4) -8,0(8)-5 intreg $\frac{7}{9}$

Answer 1

$\displaystyle a).4 \frac{1}{7} +2,72= \frac{29}{7} + \frac{272}{100} = \frac{2900+1904}{700} = \frac{4804}{700} = \frac{1201}{175} \\ \\ b).15,94-16 \frac{9}{11} = \frac{1594}{100} - \frac{185}{11} = \frac{17534-18500}{1100} = \frac{-966}{1100} =- \frac{483}{550} \\ \\ c).-2 \frac{2}{3} +3,(7)=- \frac{8}{3} + \frac{34}{9} =- \frac{24}{9}+ \frac{34}{9} = \frac{10}{9} \\ \\ d).-8,0(8)-5 \frac{7}{9} =- \frac{728}{90} - \frac{52}{9} =- \frac{728}{90} - \frac{520}{90} =- \frac{1248}{90} =- \frac{208}{15}$