\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)

\(=\left(\frac{15.10101}{16.10101}+\frac{1}{17}\right)-\left(\frac{15.100}{16.100}-\frac{16.101}{17.101}\right)\)

\(=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}=\frac{1}{17}+\frac{16}{17}=\frac{17}{17}=1\)

\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)

\(=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16}{17}\right)\)

\(=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)

\(=\left(\frac{15}{16}-\frac{15}{16}\right)+\left(\frac{1}{17}+\frac{16}{17}\right)\)

\(=\frac{15-15}{16}+\frac{1+16}{17}\)

\(=0+\frac{17}{17}\)

\(=0+1\)

\(=1\)

thank

mk cũng đang làm có gì bạn nhận được câu trả lời nhắn tin cho mk vs

C=(15/16+1/17)-(15/16-176/187)

C=15/16+1/17-15/16+176/187

C=[15/16+(-15/16)]-[1/17+176/187]

ban lam tiep nhe

C = (151515/161616 + 17^9/17^10) - (1500/1600 - 1616/1717)

C = (15.101010/16.101010 + 17^9/17^9.17) - (15.100/16.100 - 16.1010/17.1010)

C = (15/16 + 1/17) - (15/16 - 16/17)

C = 15/16 + 1/17 + -15/16 + 16/17

C = (15/16 + -15/16) + (1/17 + 16/17)

C = 0 + 1

C = 1

=\(\left(\frac{15}{16}+\frac{1}{17^5}\right)+\left(\frac{16}{17}-\frac{15}{16}\right)\)

=\(\frac{1}{17^5}+\frac{16}{17}=\frac{1+16.17^4}{17^5}\)

đáp số là số thập phân vô hạn không tuần hoàn

\(B=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16.11}{17.11}\right)\)

\(B=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)

\(B=\frac{1}{17}+\frac{16}{17}=\frac{17}{17}=1\)

\(B=\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{176}{187}\right)\)

\(B=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16}{17}\right)\)

\(B=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)

\(B=\left(\frac{15}{16}-\frac{15}{16}\right)+\left(\frac{1}{17}+\frac{16}{17}\right)\)

\(B=0+1=1\)

Vậy: B=1

\(\dfrac{151515}{161616}+\dfrac{1}{17}-\dfrac{1500}{1600}-\dfrac{16}{17}\)

\(=\dfrac{10101.15}{10101.16}+\dfrac{1}{17}-\dfrac{15.100}{16.100}-\dfrac{16}{17}\)

\(=\dfrac{15}{16}+\dfrac{1}{17}-\dfrac{15}{16}-\dfrac{16}{17}=\dfrac{-15}{17}\)