小6算数 3学期の計算 第3回 全20問
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① $14\times(12-3)$
答え $126$
\begin{eqnarray*} &&14\times(12-3)\\ &=&14\times9\\ &=&126 \end{eqnarray*}② $25+5\times8$
答え $65$
\begin{eqnarray*} &&25+5\times8\\ &=&25+40\\ &=&65 \end{eqnarray*}③ $56-32\div8$
答え $52$
\begin{eqnarray*} &&56-32\div8\\ &=&56-4\\ &=&52 \end{eqnarray*}④ $6\times12+51\div17$
答え $75$
\begin{eqnarray*} &&6\times12+51\div17\\ &=&72+3\\ &=&75 \end{eqnarray*}⑤ $(13+24)\div14\times28$
答え $74$
\begin{eqnarray*} \require{cancel} &&(13+24)\div14\times28\\ &=&37\div14\times28\\ &=&\cfrac{37\times{}^2\bcancel{28}}{\bcancel{14}}\\ &=&74 \end{eqnarray*}⑥ $2664\div72$
答え $37$
⑦ $627.2\div64$
答え $9.8$
⑧ $4.37-2.58$
答え $1.79$
⑨ $3-0.18$
答え $2.82$
⑩ $0.06\times0.7$
答え $0.042$
⑪ $3.26\times8.3$
答え $27.058$
⑫ $16.176\div4.8$
答え $3.37$
⑬ $\cfrac{8}{3}+\cfrac{11}{4}$
答え $\cfrac{65}{12} \left(5\cfrac{5}{12}\right)$
\begin{eqnarray*} &&\cfrac{8}{3}+\cfrac{11}{4}\\ &=&\cfrac{32}{12}+\cfrac{33}{12}\\ &=&\cfrac{65}{12} \end{eqnarray*}⑭ $5-\cfrac{16}{7}$
答え $\cfrac{19}{7} \left(2\cfrac{5}{7}\right)$
\begin{eqnarray*} &&5-\cfrac{16}{7}\\ &=&\cfrac{5}{1}-\cfrac{16}{7}\\ &=&\cfrac{35}{7}-\cfrac{16}{7}\\ &=&\cfrac{19}{7} \end{eqnarray*}⑮ $\cfrac{18}{11}\times\cfrac{44}{27}$
答え $\cfrac{8}{3}\left(2\cfrac{2}{3}\right)$
\begin{eqnarray*} \require{cancel} &&\cfrac{18}{11}\times\cfrac{44}{27}\\ &=&\cfrac{{}^2\bcancel{18}}{{}^1\bcancel{11}}\times\cfrac{{}^4\bcancel{44}}{{}^3\bcancel{27}}\\ &=&\cfrac{8}{3} \end{eqnarray*}⑯ $\cfrac{20}{27}\div\cfrac{15}{36}$
答え $\cfrac{16}{9}\left(1\cfrac{7}{9}\right)$
\begin{eqnarray*} &&\cfrac{20}{27}\div\cfrac{15}{36}\\ &&\cfrac{20}{27}\times\cfrac{36}{15}\\ &=&\cfrac{{}^4\bcancel{20}}{{}^3\bcancel{27}}\times\cfrac{{}^4\bcancel{36}}{{}^3\bcancel{15}}\\ &=&\cfrac{16}{9} \end{eqnarray*}⑰ $\cfrac{24}{5}\div\cfrac{21}{25}\times\cfrac{14}{5}$
答え $16$
\begin{eqnarray*} &&\cfrac{24}{5}\div\cfrac{21}{25}\times\cfrac{14}{5}\\ &&\cfrac{24}{5}\times\cfrac{25}{21}\times\cfrac{14}{5}\\ &=&\cfrac{{}^8\bcancel{24}}{{}^1\bcancel{5}}\times\cfrac{\bcancel{{}^5}\bcancel{25}}{\bcancel{{}^7}\bcancel{21}}\times\cfrac{{}^2\bcancel{14}}{{}^1\bcancel{5}}\\ &=&16 \end{eqnarray*}⑱ $3-\cfrac{14}{15}\div\cfrac{21}{20}$
答え $\cfrac{19}{9}\left(2\cfrac{1}{9}\right)$
\begin{eqnarray*} &&3-\cfrac{14}{15}\div\cfrac{21}{20}\\ &=&3-\cfrac{14}{15}\times\cfrac{20}{21}\\ &=&3-\cfrac{{}^2\bcancel{14}}{{}^3\bcancel{15}}\times\cfrac{{}^4\bcancel{20}}{{}^3\bcancel{21}}\\ &=&3-\cfrac{8}{9}\\ &=&\cfrac{27}{9}-\cfrac{8}{9}\\ &=&\cfrac{19}{9} \end{eqnarray*}⑲ $0.6+\cfrac{1}{4}$
答え $\cfrac{17}{20}$
\begin{eqnarray*} &&0.6+\cfrac{1}{4}\\ &=&\cfrac{6}{10}+\cfrac{1}{4}\\ &=&\cfrac{3}{5}+\cfrac{1}{4}\\ &=&\cfrac{12}{20}+\cfrac{5}{20}\\ &=&\cfrac{17}{20} \end{eqnarray*}⑳ $0.5\times\cfrac{2}{3}\div\cfrac{1}{9}$
答え $3$
\begin{eqnarray*} &&0.5\times\cfrac{2}{3}\div\cfrac{1}{9}\\ &=&\cfrac{5}{10}\times\cfrac{2}{3}\times\cfrac{9}{1}\\ &=&\cfrac{\bcancel{5}}{\bcancel{{}^2}\bcancel{10}}\times\cfrac{\bcancel{2}}{\bcancel{3}}\times\cfrac{{}^3\bcancel{9}}{1}\\ &=&3 \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①126②65③52④75⑤74⑥37\\ ⑦9.8⑧1.79⑨2.82⑩0.042⑪27.058⑫3.37\\ \boxed{\large{\ 2\ }}⑬\cfrac{65}{12} \left(5\cfrac{5}{12}\right)⑭\cfrac{19}{7} \left(2\cfrac{5}{7}\right)\\ ⑮\cfrac{8}{3}\left(2\cfrac{2}{3}\right)⑯\cfrac{16}{9}\left(1\cfrac{7}{9}\right)⑰16⑱\cfrac{19}{9}\left(2\cfrac{1}{9}\right)\\ ⑲\cfrac{17}{20}⑳3 $