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問１
① $$\frac{5}{8}+\frac{6}{8}$$
② $$3\frac{5}{7}+1\frac{4}{7}$$
③ $$4-2\frac{3}{5}$$
④ $$2\frac{5}{9}-\frac{7}{9}$$
問1 答え
① $$1\frac{3}{8}$$
② $$5\frac{2}{5}$$
③ $$1\frac{2}{5}$$
④ $$1\frac{7}{9}$$
解説
② $$3\frac{5}{7}+1\frac{4}{7}=(3+1)+\frac{5+4}{7}=4\frac{9}{7}=5\frac{2}{7}$$
③ $$4-2\frac{3}{5}=3\frac{5}{5}-2\frac{3}{5}=(3-2)+\frac{5-3}{5}$$
問２
① $$\frac{4}{7}+\frac{2}{7}$$
② $$1\frac{1}{5}+\frac{3}{5}$$
③ $$\frac{7}{9}-\frac{2}{9}$$
④ $$3\frac{5}{7}-\frac{2}{7}$$
問２ 答え
① $$\frac{6}{7}$$
② $$1\frac{4}{5}$$
③ $$\frac{5}{9}$$
④ $$\frac{3}{7}$$
問３
1, $$2\frac{2}{9}+1\frac{5}{9}$$
2, $$2\frac{3}{5}+\frac{4}{5}$$
3, $$2\frac{4}{7}+1\frac{5}{7}$$
4, $$3\frac{5}{9}+1\frac{8}{9}$$
5, $$1\frac{8}{13}+3\frac{9}{13}$$
6, $$3\frac{1}{4}+1\frac{3}{4}$$
問３ 答え
1, $$3\frac{7}{9}$$
2, $$3\frac{2}{5}$$
3, $$4\frac{2}{7}$$
4, $$5\frac{4}{9}$$
5, $$5\frac{4}{13}$$
6, $$5$$
問３解説
4, $$3\frac{5}{9}+1\frac{8}{9}=4\frac{13}{9}=5\frac{4}{9}$$
6, $$3\frac{1}{4}+1\frac{3}{4}=4\frac{4}{4}=5$$
問４
1, $$3\frac{4}{5}-\frac{3}{5}$$
2, $$1\frac{2}{5}-\frac{4}{5}$$
3, $$4\frac{4}{7}-1\frac{5}{7}$$
4, $$5\frac{4}{9}-3\frac{8}{9}$$
5, $$3-\frac{5}{6}$$
6, $$5-1\frac{3}{8}$$
問４ 答え
1, $$2\frac{1}{5}$$
2, $$\frac{3}{5}$$
3, $$2\frac{6}{7}$$
4, $$1\frac{5}{9}$$
5, $$2\frac{1}{6}$$
6, $$3\frac{5}{8}$$
問４ 解説
4, $$5\frac{4}{9}-3\frac{8}{9}=4\frac{13}{9}-3\frac{8}{9}=1\frac{5}{9}$$
6, $$3\frac{1}{4}+1\frac{3}{4}=4\frac{4}{4}=5$$
問５
1, $$\frac{1}{9}+\frac{2}{9}+\frac{5}{9}$$
2, $$1\frac{2}{13}+\frac{5}{1}+2\frac{7}{13}$$
3, $$\frac{5}{7}+\frac{4}{7}-\frac{3}{7}$$
4, $$2\frac{1}{8}-\frac{5}{8}+1\frac{7}{8}$$
5, $$\frac{14}{15}-\frac{2}{15}-\frac{8}{15}$$
6, $$2\frac{3}{10}-\frac{7}{10}-\frac{9}{10}$$
問５ 答え
1, $$\frac{8}{9}$$
2, $$4\frac{1}{13}$$
3, $$\frac{6}{7}$$
4, $$3\frac{3}{8}$$
5, $$\frac{4}{10}$$
6, $$\frac{7}{10}$$
問５ 解説
2,
$$1\frac{2}{13}+\frac{5}{13}+2\frac{7}{13}=(1+2)+\frac{2+5+7}{13}$$$$=3\frac{14}{13}=4\frac{1}{13}$$
4,
$$2\frac{1}{8}-\frac{5}{8}+1\frac{7}{8}=1\frac{9}{8}-\frac{5}{8}+1\frac{7}{8}=2\frac{11}{8}=3\frac{3}{8}$$
