1.次の計算をしなさい。
(1)\(\displaystyle \frac{5}{7}+\frac{5}{7}\)
\(\displaystyle 1\frac{3}{7}\)
(2)\(\displaystyle \frac{4}{5}+\frac{2}{5}\)
\(\displaystyle 1\frac{1}{5}\)
(3)\(\displaystyle \frac{3}{4}+\frac{2}{4}\)
\(\displaystyle 1\frac{1}{4}\)
(4)\(\displaystyle \frac{21}{25}+\frac{8}{25}\)
\(\displaystyle 1\frac{4}{25}\)
(5)\(\displaystyle 5\frac{1}{2}+\frac{1}{2}\)
\(\displaystyle 6\)
(6)\(\displaystyle 3\frac{3}{4}+2\frac{1}{4}\)
\(\displaystyle 6\)
(7)\(\displaystyle \frac{25}{31}+\frac{6}{31}\)
\(\displaystyle 1\)
(8)\(\displaystyle 7+\frac{1}{4}\)
\(\displaystyle 7\frac{1}{4}\)
(9)\(\displaystyle 5+\frac{1}{11}\)
\(\displaystyle 5\frac{1}{11}\)
(10)\(\displaystyle \frac{1}{15}+2\)
\(\displaystyle 2\frac{1}{15}\)
(11)\(\displaystyle \frac{7}{5}+\frac{9}{5}\)
\(\displaystyle 3\frac{1}{5}\)
(12)\(\displaystyle \frac{3}{2}+\frac{4}{2}\)
\(\displaystyle 3\frac{1}{2}\)
(13)\(\displaystyle \frac{2}{3}+\frac{13}{3}\)
\(\displaystyle 5\)
(14)\(\displaystyle \frac{9}{8}+\frac{10}{8}\)
\(\displaystyle 2\frac{3}{8}\)
(15)\(\displaystyle 3\frac{1}{5}+\frac{9}{5}\)
\(\displaystyle 5\)
(16)\(\displaystyle 1\frac{1}{2}+\frac{4}{2}\)
\(\displaystyle 3\frac{1}{2}\)
(17)\(\displaystyle \frac{2}{3}+4\frac{1}{3}\)
\(\displaystyle 5\)
(18)\(\displaystyle 2\frac{3}{8}+1\frac{2}{8}\)
\(\displaystyle 3\frac{5}{8}\)
(19)\(\displaystyle 3+\frac{1}{2}\)
\(\displaystyle 3\frac{1}{2}\)
(20)\(\displaystyle 2+\frac{1}{2}\)
\(\displaystyle 2\frac{1}{2}\)
(21)\(\displaystyle \frac{7}{3}+3\)
\(\displaystyle 5\frac{1}{3}\)
(22)\(\displaystyle \frac{19}{8}+4\)
\(\displaystyle 6\frac{3}{8}\)
(23)\(\displaystyle \frac{5}{4}+\frac{5}{4}\)
\(\displaystyle 2\frac{2}{4}\)
(24)\(\displaystyle 1\frac{2}{3}+2\frac{1}{3}\)
\(\displaystyle 4\)
(25)\(\displaystyle \frac{38}{9}+2\)
\(\displaystyle 6\frac{2}{9}\)
(26)\(\displaystyle \frac{11}{8}+\frac{13}{8}\)
\(\displaystyle 3\)
(27)\(\displaystyle 1\frac{1}{3}+2\frac{1}{3}\)
\(\displaystyle 3\frac{2}{3}\)
(28)\(\displaystyle 1\frac{4}{5}+\frac{3}{5}\)
\(\displaystyle 2\frac{2}{5}\)
(29)\(\displaystyle \frac{7}{9}+\frac{6}{9}\)
\(\displaystyle 1\frac{4}{9}\)
(30)\(\displaystyle 4\frac{1}{2}+3\frac{1}{2}\)
\(\displaystyle 8\)
(31)\(\displaystyle 2\frac{1}{4}+1\frac{1}{4}\)
\(\displaystyle 3\frac{2}{4}\)
(32)\(\displaystyle \frac{8}{9}+\frac{4}{9}\)
\(\displaystyle 1\frac{3}{9}\)
(33)\(\displaystyle 1\frac{1}{7}+\frac{3}{7}\)
\(\displaystyle 1\frac{4}{7}\)
(34)\(\displaystyle \frac{4}{8}+\frac{4}{8}\)
\(\displaystyle 1\)
(35)\(\displaystyle \frac{7}{9}+\frac{2}{9}\)
\(\displaystyle 1\)
(36)\(\displaystyle 1\frac{1}{4}+2\frac{1}{4}\)
\(\displaystyle 3\frac{2}{4}\)
(37)\(\displaystyle 1\frac{1}{8}+\frac{5}{8}\)
\(\displaystyle 1\frac{6}{8}\)
(38)\(\displaystyle 2\frac{1}{4}+\frac{3}{4}\)
\(\displaystyle 3\)
(39)\(\displaystyle \frac{3}{5}+1\frac{1}{5}\)
\(\displaystyle 1\frac{4}{5}\)
(40)\(\displaystyle 1\frac{1}{7}+1\frac{2}{7}\)
\(\displaystyle 2\frac{3}{7}\)
(41)\(\displaystyle \frac{7}{3}-\frac{1}{3}\)
\(\displaystyle 2\)
(42)\(\displaystyle \frac{13}{9}-\frac{1}{9}\)
\(\displaystyle 1\frac{3}{9}\)
(43)\(\displaystyle \frac{12}{8}-\frac{3}{8}\)
\(\displaystyle 1\frac{1}{8}\)
(44)\(\displaystyle \frac{20}{9}-\frac{3}{9}\)
\(\displaystyle 1\frac{8}{9}\)
(45)\(\displaystyle \frac{31}{12}-\frac{5}{12}\)
\(\displaystyle 2\frac{2}{12}\)
(46)\(\displaystyle 2\frac{7}{8}-\frac{5}{8}\)
\(\displaystyle 2\frac{2}{8}\)
(47)\(\displaystyle 3\frac{3}{5}-1\frac{2}{5}\)
\(\displaystyle 2\frac{1}{5}\)
(48)\(\displaystyle \frac{50}{46}-\frac{2}{46}\)
\(\displaystyle 1\frac{2}{46}\)
(49)\(\displaystyle \frac{60}{13}-3\)
\(\displaystyle 1\frac{8}{13}\)
(50)\(\displaystyle 4-\frac{2}{9}\)
\(\displaystyle 3\frac{7}{9}\)
(51)\(\displaystyle \frac{40}{9}-1\)
\(\displaystyle 3\frac{4}{9}\)
(52)\(\displaystyle \frac{25}{4}-\frac{5}{4}\)
\(\displaystyle 5\)
(53)\(\displaystyle \frac{20}{4}-\frac{11}{4}\)
\(\displaystyle 2\frac{1}{4}\)
(54)\(\displaystyle \frac{99}{5}-\frac{19}{5}\)
\(\displaystyle 16\)
(55)\(\displaystyle \frac{10}{9}-\frac{1}{9}\)
\(\displaystyle 1\)
(56)\(\displaystyle \frac{10}{9}-\frac{1}{9}\)
\(\displaystyle 1\)
(57)\(\displaystyle 3\frac{2}{4}-2\frac{3}{4}\)
\(\displaystyle \frac{3}{4}\)
(58)\(\displaystyle \frac{20}{4}-2\frac{1}{4}\)
\(\displaystyle 2\frac{3}{4}\)
(59)\(\displaystyle 4\frac{2}{5}-1\frac{2}{5}\)
\(\displaystyle 3\)
(60)\(\displaystyle 9\frac{1}{3}-7\frac{2}{3}\)
\(\displaystyle 1\frac{2}{3}\)
(61)\(\displaystyle 5-2\frac{3}{4}\)
\(\displaystyle 2\frac{1}{4}\)
(62)\(\displaystyle 6-\frac{1}{4}\)
\(\displaystyle 5\frac{3}{4}\)
(63)\(\displaystyle 7-1\frac{2}{5}\)
\(\displaystyle 5\frac{3}{5}\)
(64)\(\displaystyle \frac{38}{9}-2\)
\(\displaystyle 2\frac{2}{9}\)
(65)\(\displaystyle 3-\frac{1}{3}\)
\(\displaystyle 2\frac{2}{3}\)
(66)\(\displaystyle \frac{7}{5}-\frac{6}{5}\)
\(\displaystyle \frac{1}{5}\)
(67)\(\displaystyle 1\frac{6}{7}-\frac{9}{7}\)
\(\displaystyle \frac{4}{7}\)
(68)\(\displaystyle 5-3\frac{5}{6}\)
\(\displaystyle 1\frac{1}{6}\)
(69)\(\displaystyle \frac{18}{6}-2\)
\(\displaystyle 1\)
(70)\(\displaystyle 3\frac{4}{7}-1\frac{6}{7}\)
\(\displaystyle 1\frac{5}{7}\)
2.次の問いに答えなさい。
(1)\(\displaystyle \frac{6}{5}\)ℓのジュースがあり、\(\displaystyle \frac{3}{5}\)ℓ買い足した。ジュースの残りを求めなさい。
\(\displaystyle \frac{6}{5}+\frac{3}{5}=1\frac{4}{5}\)
【答】\(\displaystyle 1\frac{4}{5}\)ℓ
(2)\(\displaystyle \frac{15}{3}\)ℓのジュースがあり、\(\displaystyle \frac{6}{3}\)ℓ飲んだ。ジュースの残りを求めなさい。
\(\displaystyle \frac{15}{3}-\frac{6}{3}=3\)
【答】\(\displaystyle 3\)ℓ
(3)家から学校まで\(\displaystyle 1\frac{1}{4}\)kmあり、\(\displaystyle \frac{3}{4}\)kmまで歩いた。残り何kmか求めなさい。
\(\displaystyle 1\frac{1}{4}-\frac{3}{4}=\frac{2}{4}\)
【答】\(\displaystyle \frac{2}{4}\)km
(4)\(\displaystyle 5\frac{2}{3}\)cmと\(\displaystyle \frac{8}{3}\)cmの鉛筆がある。合わせると何cmか求めなさい。
\(\displaystyle 5\frac{2}{3}+\frac{8}{3}=8\frac{1}{3}\)
【答】\(\displaystyle 8\frac{1}{3}\)cm
(5)\(\displaystyle 5\frac{2}{3}\)cmと\(\displaystyle \frac{8}{3}\)cmの鉛筆がある。違いは何cmか求めなさい。
\(\displaystyle 5\frac{2}{3}-\frac{8}{3}=3\)
【答】\(\displaystyle 3\)cm