小6算数 3学期の計算 第11回 全20問
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① $25\times(22-14)$
答え $200$
\begin{eqnarray*} &&25\times(22-14)\\ &=&25\times8\\ &=&200 \end{eqnarray*}② $4+6\times9$
答え $58$
\begin{eqnarray*} &&4+6\times9\\ &=&4+54\\ &=&58 \end{eqnarray*}③ $18-12\div3$
答え $14$
\begin{eqnarray*} &&18-12\div3\\ &=&18-4\\ &=&14 \end{eqnarray*}④ $15\times15-96\div6$
答え $209$
\begin{eqnarray*} &&15\times15-96\div6\\ &=&225-16\\ &=&209 \end{eqnarray*}⑤ $(39+69)\div31\times62$
答え $216$
\begin{eqnarray*} \require{cancel} &&(39+69)\div31\times62\\ &=&108\div31\times62\\ &=&\cfrac{108\times{}^2\bcancel{62}}{{}^1\bcancel{31}}\\ &=&216 \end{eqnarray*}⑥ $2324\div28$
答え $83$
⑦ $186.2\div49$
答え $3.8$
⑧ $6.54-3.45$
答え $3.09$
⑨ $3-0.33$
答え $2.67$
⑩ $0.05\times0.6$
答え $0.03$
⑪ $48.9\times2.89$
答え $141.321$
⑫ $244.55\div36.5$
答え $6.7$
⑬ $\cfrac{3}{7}+\cfrac{4}{3}$
答え $\cfrac{37}{21} \left(1\cfrac{16}{21}\right)$
\begin{eqnarray*} &&\cfrac{3}{7}+\cfrac{4}{3}\\ &=&\cfrac{9}{21}+\cfrac{28}{21}\\ &=&\cfrac{37}{21} \end{eqnarray*}⑭ $3-\cfrac{12}{5}$
答え $\cfrac{3}{5}$
\begin{eqnarray*} &&3-\cfrac{12}{5}\\ &=&\cfrac{3}{1}-\cfrac{12}{5}\\ &=&\cfrac{15}{5}-\cfrac{12}{5}\\ &=&\cfrac{3}{5} \end{eqnarray*}⑮ $\cfrac{7}{31}\times\cfrac{62}{21}$
答え $\cfrac{2}{3}$
\begin{eqnarray*} \require{cancel} &&\cfrac{7}{31}\times\cfrac{62}{21}\\ &=&\cfrac{{}^1\bcancel{7}}{{}^1\bcancel{31}}\times\cfrac{{}^2\bcancel{62}}{{}^3\bcancel{21}}\\ &=&\cfrac{2}{3} \end{eqnarray*}⑯ $\cfrac{8}{105}\div\cfrac{16}{15}$
答え $\cfrac{1}{14}$
\begin{eqnarray*} &&\cfrac{8}{105}\div\cfrac{16}{15}\\ &&\cfrac{8}{105}\times\cfrac{15}{16}\\ &=&\cfrac{{}^1\bcancel{8}}{{}^7\bcancel{105}}\times\cfrac{{}^1\bcancel{15}}{{}^2\bcancel{16}}\\ &=&\cfrac{1}{14} \end{eqnarray*}⑰ $\cfrac{5}{6}\div\cfrac{7}{4}\times\cfrac{21}{25}$
答え $\cfrac{2}{5}$
\begin{eqnarray*} &&\cfrac{5}{6}\div\cfrac{7}{4}\times\cfrac{21}{25}\\ &&\cfrac{5}{6}\times\cfrac{4}{7}\times\cfrac{21}{25}\\ &=&\cfrac{{}^1\bcancel{5}}{{}^1\bcancel{{}^3}\bcancel{6}}\times\cfrac{{}^2\bcancel{4}}{{}^1\bcancel{7}}\times\cfrac{{}^1\bcancel{{}^7}\bcancel{21}}{{}^5\bcancel{25}}\\ &=&\cfrac{2}{5} \end{eqnarray*}⑱ $\cfrac{27}{8}\times\cfrac{4}{9}+\cfrac{2}{3}\div\cfrac{4}{5}$
答え $\cfrac{7}{3} \left(2\cfrac{1}{3}\right)$
\begin{eqnarray*} &&\cfrac{27}{8}\times\cfrac{4}{9}+\cfrac{2}{3}\div\cfrac{4}{5}\\ &=&\cfrac{27}{8}\times\cfrac{4}{9}+\cfrac{2}{3}\times\cfrac{5}{4}\\ &=&\cfrac{{}^3\bcancel{27}}{{}^2\bcancel{8}}\times\cfrac{{}^1\bcancel{4}}{{}^1\bcancel{9}}+\cfrac{{}^1\bcancel{2}}{3}\times\cfrac{5}{{}^2\bcancel{4}}\\ &=&\cfrac{3}{2}+\cfrac{5}{6}\\ &=&\cfrac{9}{6}+\cfrac{5}{6}\\ &=&\cfrac{14}{6}\\ &=&\cfrac{7}{3} \end{eqnarray*}⑲ $0.3-\cfrac{1}{4}$
答え $\cfrac{1}{20}$
\begin{eqnarray*} &&0.3-\cfrac{1}{4}\\ &=&\cfrac{3}{10}-\cfrac{1}{4}\\ &=&\cfrac{6}{20}-\cfrac{5}{20}\\ &=&\cfrac{1}{20} \end{eqnarray*}⑳ $\cfrac{15}{2}\times0.3\div0.75$
答え $3$
\begin{eqnarray*} &&\cfrac{15}{2}\times0.3\div0.75\\ &=&\cfrac{15}{2}\times\cfrac{3}{10}\div\cfrac{75}{100}\\ &=&\cfrac{15}{2}\times\cfrac{3}{10}\times\cfrac{{}^4\bcancel{100}}{{}^3\bcancel{75}}\\ &=&\cfrac{{}^1\bcancel{{}^3}\bcancel{15}}{{}^1\bcancel{2}}\times\cfrac{3}{{}^1\bcancel{{}^2}\bcancel{10}}\times\cfrac{{}^1\bcancel{{}^2}\bcancel{4}}{{}^1\bcancel{3}}\\ &=&3 \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①200②58③14④209⑤216⑥83\\ ⑦3.8⑧3.09⑨2.67⑩0.03⑪141.321⑫6.7\\ \boxed{\large{\ 2\ }}⑬\cfrac{37}{21} \left(1\cfrac{16}{21}\right)⑭\cfrac{3}{5} \\ ⑮\cfrac{2}{3}⑯\cfrac{1}{14}⑰\cfrac{2}{5} ⑱\cfrac{7}{3} \left(2\cfrac{1}{3}\right)\\ ⑲\cfrac{1}{20}⑳3 $