小6算数 3学期の計算 第12回 全20問
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① $25\times(15-9)$
答え $150$
\begin{eqnarray*} &&25\times(15-9)\\ &=&25\times6\\ &=&150 \end{eqnarray*}② $3+7\times8$
答え $59$
\begin{eqnarray*} &&3+7\times8\\ &=&3+56\\ &=&59 \end{eqnarray*}③ $35-20\div5$
答え $31$
\begin{eqnarray*} &&35-20\div5\\ &=&35-4\\ &=&31 \end{eqnarray*}④ $16\times16-200\div8$
答え $231$
\begin{eqnarray*} &&16\times16-200\div8\\ &=&256-25\\ &=&231 \end{eqnarray*}⑤ $(18+13)\div42\times126$
答え $93$
\begin{eqnarray*} \require{cancel} &&(18+13)\div42\times126\\ &=&31\div42\times126\\ &=&\cfrac{31\times{}^3\bcancel{126}}{{}^1\bcancel{42}}\\ &=&93 \end{eqnarray*}⑥ $2738\div74$
答え $37$
⑦ $231.2\div68$
答え $3.4$
⑧ $8.36-2.47$
答え $5.89$
⑨ $6-0.55$
答え $5.45$
⑩ $0.03\times0.9$
答え $0.027$
⑪ $25.6\times2.56$
答え $65.536$
⑫ $297.97\div8.3$
答え $35.9$
⑬ $\cfrac{5}{12}+\cfrac{9}{8}$
答え $\cfrac{37}{24} \left(1\cfrac{13}{24}\right)$
\begin{eqnarray*} &&\cfrac{5}{12}+\cfrac{5}{8}\\ &=&\cfrac{10}{24}+\cfrac{27}{24}\\ &=&\cfrac{37}{24} \end{eqnarray*}⑭ $4-\cfrac{17}{9}$
答え $\cfrac{19}{9} \left(2\cfrac{1}{9}\right)$
\begin{eqnarray*} &&4-\cfrac{17}{9}\\ &=&\cfrac{4}{1}-\cfrac{17}{9}\\ &=&\cfrac{36}{9}-\cfrac{17}{9}\\ &=&\cfrac{19}{9} \end{eqnarray*}⑮ $\cfrac{45}{32}\times\cfrac{8}{3}$
答え $\cfrac{15}{4} \left(3\cfrac{3}{4}\right)$
\begin{eqnarray*} \require{cancel} &&\cfrac{45}{32}\times\cfrac{8}{3}\\ &=&\cfrac{{}^{15}\bcancel{45}}{{}^4\bcancel{32}}\times\cfrac{{}^1\bcancel{8}}{{}^1\bcancel{3}}\\ &=&\cfrac{15}{4} \end{eqnarray*}⑯ $\cfrac{35}{34}\div\cfrac{15}{17}$
答え $\cfrac{7}{6} \left(1\cfrac{1}{6}\right)$
\begin{eqnarray*} &&\cfrac{35}{34}\div\cfrac{15}{17}\\ &&\cfrac{35}{34}\times\cfrac{17}{15}\\ &=&\cfrac{{}^7\bcancel{35}}{{}^2\bcancel{34}}\times\cfrac{{}^1\bcancel{17}}{{}^3\bcancel{15}}\\ &=&\cfrac{7}{6} \end{eqnarray*}⑰ $\cfrac{7}{2}\div3\times\cfrac{8}{9}$
答え $\cfrac{28}{27} \left(1\cfrac{1}{27}\right)$
\begin{eqnarray*} &&\cfrac{7}{2}\div3\times\cfrac{8}{9}\\ &&\cfrac{7}{2}\times\cfrac{1}{3}\times\cfrac{8}{9}\\ &=&\cfrac{7}{{}^1\bcancel{2}}\times\cfrac{1}{3}\times\cfrac{{}^4\bcancel{8}}{9}\\ &=&\cfrac{28}{27} \end{eqnarray*}⑱ $\cfrac{8}{15}\times\cfrac{5}{4}+\cfrac{12}{7}\div\cfrac{15}{14}$
答え $\cfrac{34}{15} \left(2\cfrac{4}{15}\right)$
\begin{eqnarray*} &&\cfrac{8}{15}\times\cfrac{5}{4}+\cfrac{12}{7}\div\cfrac{15}{14}\\ &=&\cfrac{8}{15}\times\cfrac{5}{4}+\cfrac{12}{7}\times\cfrac{14}{15}\\ &=&\cfrac{{}^2\bcancel{8}}{{}^3\bcancel{15}}\times\cfrac{{}^1\bcancel{5}}{{}^1\bcancel{4}}+\cfrac{{}^4\bcancel{12}}{{}^1\bcancel{7}}\times\cfrac{{}^2\bcancel{14}}{{}^5\bcancel{15}}\\ &=&\cfrac{2}{3}+\cfrac{8}{5}\\ &=&\cfrac{10}{15}+\cfrac{24}{15}\\ &=&\cfrac{34}{15} \end{eqnarray*}⑲ $0.7-\cfrac{1}{2}$
答え $\cfrac{1}{5}$
\begin{eqnarray*} &&0.7-\cfrac{1}{2}\\ &=&\cfrac{7}{10}-\cfrac{1}{2}\\ &=&\cfrac{7}{10}-\cfrac{5}{10}\\ &=&\cfrac{2}{10}\\ &=&\cfrac{1}{5} \end{eqnarray*}⑳ $\cfrac{15}{8}\div0.75\times0.2$
答え $\cfrac{1}{2}$
\begin{eqnarray*} &&\cfrac{15}{8}\div0.75\times0.2\\ &=&\cfrac{15}{8}\div\cfrac{75}{100}\times\cfrac{2}{10}\\ &=&\cfrac{15}{8}\times\cfrac{{}^4\bcancel{100}}{{}^3\bcancel{75}}\times\cfrac{{}^1\bcancel{2}}{{}^5\bcancel{10}}\\ &=&\cfrac{{}^1\bcancel{{}^5}\bcancel{15}}{{}^2\bcancel{8}}\times\cfrac{{}^1\bcancel{4}}{{}^1\bcancel{3}}\times\cfrac{1}{{}^1\bcancel{5}}\\ &=&\cfrac{1}{2} \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①150②59③31④231⑤93⑥37\\ ⑦3.4⑧5.89⑨5.45⑩0.027⑪65.536⑫35.9\\ \boxed{\large{\ 2\ }}⑬\cfrac{37}{24} \left(1\cfrac{13}{24}\right)⑭\cfrac{19}{9} \left(2\cfrac{1}{9}\right)\\ ⑮\cfrac{15}{4} \left(3\cfrac{3}{4}\right)⑯\cfrac{7}{6} \left(1\cfrac{1}{6}\right)⑰\cfrac{28}{27} \left(1\cfrac{1}{27}\right)⑱\cfrac{34}{15} \left(2\cfrac{4}{15}\right)\\ ⑲\cfrac{1}{5}⑳\cfrac{1}{2} $