小6算数 3学期の計算 第15回 全20問
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① $16\times(8+8)$
答え $256$
\begin{eqnarray*} &&16\times(8+8)\\ &=&16\times16\\ &=&256 \end{eqnarray*}② $4+8\times7$
答え $60$
\begin{eqnarray*} &&4+8\times7\\ &=&4+56\\ &=&60 \end{eqnarray*}③ $35-25\div5$
答え $30$
\begin{eqnarray*} &&35-25\div5\\ &=&35-5\\ &=&30 \end{eqnarray*}④ $13\times13-225\div15$
答え $154$
\begin{eqnarray*} &&13\times13-225\div15\\ &=&169-15\\ &=&154 \end{eqnarray*}⑤ $(87-69)\div25\times75$
答え $54$
\begin{eqnarray*} \require{cancel} &&(87-69)\div25\times75\\ &=&18\div25\times75\\ &=&\cfrac{18\times{}^3\bcancel{75}}{{}^1\bcancel{25}}\\ &=&54 \end{eqnarray*}⑥ $2072\div56$
答え $37$
⑦ $34.65\div5.5$
答え $6.3$
⑧ $7.91-3.94$
答え $3.97$
⑨ $5-0.41$
答え $4.59$
⑩ $0.09\times0.9$
答え $0.081$
⑪ $25.3\times6.83$
答え $172.799$
⑫ $211.72\div26.8$
答え $7.9$
⑬ $\cfrac{8}{15}+\cfrac{29}{60}$
答え $\cfrac{61}{60} \left(1\cfrac{1}{60}\right)$
\begin{eqnarray*} &&\cfrac{8}{15}+\cfrac{29}{60}\\ &=&\cfrac{32}{60}+\cfrac{29}{60}\\ &=&\cfrac{61}{60} \end{eqnarray*}⑭ $3-\cfrac{9}{7}$
答え $\cfrac{12}{7} \left(1\cfrac{5}{7}\right)$
\begin{eqnarray*} &&3-\cfrac{9}{7}\\ &=&\cfrac{3}{1}-\cfrac{9}{7}\\ &=&\cfrac{21}{7}-\cfrac{9}{7}\\ &=&\cfrac{12}{7} \end{eqnarray*}⑮ $\cfrac{36}{49}\times\cfrac{28}{45}$
答え $\cfrac{16}{35}$
\begin{eqnarray*} \require{cancel} &&\cfrac{36}{49}\times\cfrac{28}{45}\\ &=&\cfrac{{}^4\bcancel{36}}{{}^7\bcancel{49}}\times\cfrac{{}^4\bcancel{28}}{{}^{5}\bcancel{45}}\\ &=&\cfrac{16}{35} \end{eqnarray*}⑯ $\cfrac{44}{49}\div\cfrac{33}{98}$
答え $\cfrac{8}{3} \left(2\cfrac{2}{3}\right)$
\begin{eqnarray*} &&\cfrac{44}{49}\div\cfrac{33}{98}\\ &&\cfrac{44}{49}\times\cfrac{98}{33}\\ &=&\cfrac{{}^4\bcancel{44}}{{}^1\bcancel{49}}\times\cfrac{{}^2\bcancel{98}}{{}^3\bcancel{33}}\\ &=&\cfrac{8}{3} \end{eqnarray*}⑰ $\cfrac{9}{20}\div\cfrac{24}{25}\div\cfrac{5}{12}$
答え $\cfrac{9}{8} \left(1\cfrac{1}{8}\right)$
\begin{eqnarray*} &&\cfrac{9}{20}\div\cfrac{24}{25}\div\cfrac{5}{12}\\ &=&\cfrac{9}{20}\times\cfrac{25}{24}\times\cfrac{12}{5}\\ &=&\cfrac{{}^3\bcancel{9}}{{}^1\bcancel{{}^5}\bcancel{20}}\times\cfrac{{}^1\bcancel{{}^5}\bcancel{25}}{{}^8\bcancel{24}}\times\cfrac{{}^3\bcancel{12}}{{}^1\bcancel{5}}\\ &=&\cfrac{9}{8} \end{eqnarray*}⑱ $\cfrac{3}{8}\times\cfrac{16}{21}+\cfrac{5}{3}\div\cfrac{20}{9}$
答え $\cfrac{29}{28} \left(1\cfrac{1}{28}\right)$
\begin{eqnarray*} &&\cfrac{3}{8}\times\cfrac{16}{21}+\cfrac{5}{3}\div\cfrac{20}{9}\\ &=&\cfrac{3}{8}\times\cfrac{16}{21}+\cfrac{5}{3}\times\cfrac{9}{20}\\ &=&\cfrac{{}^1\bcancel{3}}{{}^1\bcancel{8}}\times\cfrac{{}^2\bcancel{16}}{{}^7\bcancel{21}}+\cfrac{{}^1\bcancel{5}}{{}^1\bcancel{3}}\times\cfrac{{}^3\bcancel{9}}{{}^4\bcancel{20}}\\ &=&\cfrac{2}{7}+\cfrac{3}{4}\\ &=&\cfrac{8}{28}+\cfrac{21}{28}\\ &=&\cfrac{29}{28} \end{eqnarray*}⑲ $1.75-\cfrac{4}{3}$
答え $\cfrac{5}{12}$
\begin{eqnarray*} &&1.75-\cfrac{4}{3}\\ &=&\cfrac{{}^7\bcancel{175}}{{}^4\bcancel{100}}-\cfrac{4}{3}\\ &=&\cfrac{7}{4}-\cfrac{4}{3}\\ &=&\cfrac{21}{12}-\cfrac{16}{12}\\ &=&\cfrac{5}{12} \end{eqnarray*}⑳ $\cfrac{5}{2}\times0.75\div\cfrac{15}{16}$
答え $2$
\begin{eqnarray*} &&\cfrac{5}{2}\times0.75\div\cfrac{15}{16}\\ &=&\cfrac{5}{2}\times\cfrac{75}{100}\times\cfrac{16}{15}\\ &=&\cfrac{5}{2}\times\cfrac{{}^3\bcancel{75}}{{}^4\bcancel{100}}\times\cfrac{16}{15}\\ &=&\cfrac{{}^1\bcancel{5}}{{}^1\bcancel{2}}\times\cfrac{{}^1\bcancel{3}}{{}^1\bcancel{4}}\times\cfrac{{}^2\bcancel{{}^8}\bcancel{16}}{{}^1\bcancel{{}^3}\bcancel{15}}\\ &=&2 \end{eqnarray*}答え
$\boxed{\large{\ 1\ }}①256②60③30④154⑤54⑥37\\ ⑦6.3⑧3.97⑨4.59⑩0.081⑪172.799⑫7.9\\ \boxed{\large{\ 2\ }}⑬\cfrac{61}{60} \left(1\cfrac{1}{60}\right)⑭\cfrac{12}{7} \left(1\cfrac{5}{7}\right)\\ ⑮\cfrac{16}{35}⑯\cfrac{8}{3} \left(2\cfrac{2}{3}\right)⑰\cfrac{9}{8} \left(1\cfrac{1}{8}\right)⑱\cfrac{29}{28} \left(1\cfrac{1}{28}\right)\\ ⑲\cfrac{5}{12}⑳2 $