Question

5£®¼ÆËãÏÂÃæ¸÷Ì⣬ÄܼòËãµÄÒª¼òË㣮
0.125+3.7¡Á$\frac{1}{8}$+$\frac{1}{8}$¡Á5.3
$\frac{1}{2}$+$\frac{1}{6}$+$\frac{1}{12}$+$\frac{1}{20}$+$\frac{1}{30}$+$\frac{1}{42}$
£¨$\frac{2}{29}$+$\frac{3}{23}$£©¡Á29¡Á23
0.24¡Á6.4¡Â0.32£®

Answer 1

·ÖÎö £¨1£©¸ù¾Ý³Ë·¨·ÖÅäÂɼÆË㣻
£¨2£©$\frac{1}{2}$=1-$\frac{1}{2}$£¬$\frac{1}{6}$=$\frac{1}{2}$-$\frac{1}{3}$£¬$\frac{1}{12}$=$\frac{1}{3}$-$\frac{1}{4}$¡­Óɴ˽øÐвð·Ö£¬ÔÙ¼Ó¼õÏ໥µÖÏû½øÐмòË㣻
£¨3£©¸ù¾Ý³Ë·¨·ÖÅäÂɼÆË㣻
£¨4£©°´ÕÕ´Ó×óµ½ÓÒµÄ˳Ðò¼ÆË㣮

½â´ð ½â£º£¨1£©0.125+3.7¡Á$\frac{1}{8}$+$\frac{1}{8}$¡Á5.3
=$\frac{1}{8}$+3.7¡Á$\frac{1}{8}$+$\frac{1}{8}$¡Á5.3
=$\frac{1}{8}$¡Á£¨1+3.7+5.3£©
=$\frac{1}{8}$¡Á10
=$\frac{5}{4}$

£¨2£©$\frac{1}{2}$+$\frac{1}{6}$+$\frac{1}{12}$+$\frac{1}{20}$+$\frac{1}{30}$+$\frac{1}{42}$
=£¨1-$\frac{1}{2}$£©+£¨$\frac{1}{2}$-$\frac{1}{3}$£©+£¨$\frac{1}{3}$-$\frac{1}{4}$£©+£¨$\frac{1}{4}$-$\frac{1}{5}$£©+£¨$\frac{1}{5}$-$\frac{1}{6}$£©+£¨$\frac{1}{6}$-$\frac{1}{7}$£©
=1-$\frac{1}{2}$+$\frac{1}{2}$-$\frac{1}{3}$+$\frac{1}{3}$-$\frac{1}{4}$+$\frac{1}{4}$-$\frac{1}{5}$+$\frac{1}{5}$-$\frac{1}{6}$+$\frac{1}{6}$-$\frac{1}{7}$
=1-$\frac{1}{7}$
=$\frac{6}{7}$


£¨3£©£¨$\frac{2}{29}$+$\frac{3}{23}$£©¡Á29¡Á23
=$\frac{2}{29}$¡Á29¡Á23+$\frac{3}{23}$¡Á29¡Á23
=46+87
=133

£¨4£©0.24¡Á6.4¡Â0.32
=1.536¡Â0.32
=4.8

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