1.次の計算をしなさい。
(1)\(\displaystyle \frac{3}{5}÷\frac{1}{4}\)
\(\displaystyle \frac{12}{5}\)
(2)\(\displaystyle \frac{4}{7}÷\frac{5}{9}\)
\(\displaystyle \frac{36}{35}\)
(3)\(\displaystyle \frac{9}{8}÷\frac{2}{7}\)
\(\displaystyle \frac{63}{16}\)
(4)\(\displaystyle 1\frac{1}{4}÷\frac{1}{7}\)
\(\displaystyle \frac{35}{4}\)
(5)\(\displaystyle 2\frac{3}{5}÷\frac{9}{8}\)
\(\displaystyle \frac{104}{45}\)
(6)\(\displaystyle \frac{3}{4}÷1\frac{4}{9}\)
\(\displaystyle \frac{27}{52}\)
(7)\(\displaystyle 1\frac{1}{2}÷2\frac{3}{5}\)
\(\displaystyle \frac{15}{26}\)
(8)\(\displaystyle 1\frac{3}{4}÷1\frac{5}{7}\)
\(\displaystyle \frac{49}{48}\)
(9)\(\displaystyle 2\frac{1}{7}÷1\frac{4}{9}\)
\(\displaystyle \frac{135}{91}\)
(10)\(\displaystyle 2\frac{4}{5}÷2\frac{1}{2}\)
\(\displaystyle \frac{28}{25}\)
(11)\(\displaystyle \frac{2}{3}÷\frac{5}{3}\)
\(\displaystyle \frac{2}{5}\)
(12)\(\displaystyle \frac{5}{7}÷\frac{10}{13}\)
\(\displaystyle \frac{13}{14}\)
(13)\(\displaystyle \frac{5}{6}÷\frac{4}{9}\)
\(\displaystyle \frac{15}{8}\)
(14)\(\displaystyle 1\frac{2}{5}÷\frac{7}{2}\)
\(\displaystyle \frac{2}{5}\)
(15)\(\displaystyle 1\frac{5}{6}÷\frac{22}{13}\)
\(\displaystyle \frac{13}{12}\)
(16)\(\displaystyle 2\frac{2}{7}÷\frac{4}{3}\)
\(\displaystyle \frac{12}{7}\)
(17)\(\displaystyle 1\frac{2}{9}÷1\frac{3}{8}\)
\(\displaystyle \frac{8}{9}\)
(18)\(\displaystyle 3\frac{5}{6}÷2\frac{1}{3}\)
\(\displaystyle \frac{23}{14}\)
(19)\(\displaystyle 1\frac{1}{10}÷1\frac{1}{4}\)
\(\displaystyle \frac{22}{25}\)
(20)\(\displaystyle 2\frac{5}{12}÷1\frac{1}{8}\)
\(\displaystyle \frac{58}{27}\)
(21)\(\displaystyle \frac{3}{7}÷\frac{9}{10}\)
\(\displaystyle \frac{10}{21}\)
(22)\(\displaystyle \frac{9}{7}÷\frac{15}{28}\)
\(\displaystyle \frac{12}{5}\)
(23)\(\displaystyle \frac{12}{5}÷\frac{8}{15}\)
\(\displaystyle \frac{9}{2}\)
(24)\(\displaystyle \frac{15}{13}÷\frac{5}{26}\)
\(\displaystyle 6\)
(25)\(\displaystyle \frac{56}{25}÷\frac{21}{20}\)
\(\displaystyle \frac{32}{15}\)
(26)\(\displaystyle \frac{17}{8}÷\frac{51}{32}\)
\(\displaystyle \frac{4}{3}\)
(27)\(\displaystyle 1\frac{4}{11}÷1\frac{2}{3}\)
\(\displaystyle \frac{9}{11}\)
(28)\(\displaystyle 1\frac{1}{15}÷\frac{4}{9}\)
\(\displaystyle \frac{12}{5}\)
(29)\(\displaystyle 3\frac{1}{7}÷2\frac{5}{14}\)
\(\displaystyle \frac{4}{3}\)
(30)\(\displaystyle 4\frac{3}{8}÷1\frac{5}{16}\)
\(\displaystyle \frac{10}{3}\)
2.次の問いに答えなさい。
(1)\(\displaystyle 3\frac{3}{5}\)dℓで\(\displaystyle \frac{25}{11}\)m\(^2\)の壁を塗れるペンキがある。この壁を1m\(^2\)塗るとき、ペンキは何dℓ必要か答えなさい。
\(\displaystyle 3\frac{3}{5}÷\frac{25}{11}=\frac{198}{125}\)
【答】\(\displaystyle \frac{198}{125}dℓ\)
(2)縦が\(\displaystyle 2\frac{1}{3}\)cm、面積が\(\displaystyle 5\frac{3}{8}\)cm\(^2\)の平行四辺形がある。高さは何cmになるか答えなさい。
\(\displaystyle 5\frac{3}{8}÷2\frac{1}{3}=\frac{129}{56}\)
【答】\(\displaystyle \frac{129}{56}cm\)
(3)長さが\(\displaystyle \frac{6}{7}\)mで重さが\(\displaystyle \frac{8}{21}\)kgのパイプがある。このパイプ1mの重さは何kgになるか答えなさい。
\(\displaystyle \frac{8}{21}÷\frac{6}{7}=\frac{4}{9}\)
【答】\(\displaystyle \frac{4}{9}kg\)
(4)横の長さが\(\displaystyle 2\frac{4}{7}\)cmで、面積が\(\displaystyle 4\frac{2}{13}\)cm\(^2\)の長方形がある。縦の長さは何cmになるか答えなさい。
\(\displaystyle 4\frac{2}{13}÷2\frac{4}{7}=\frac{21}{13}\)
【答】\(\displaystyle \frac{21}{13}cm\)
(5)底辺が\(\displaystyle 1\frac{1}{9}\)cm、面積が\(\displaystyle 1\frac{13}{27}\)cm\(^2\)の長方形の縦の長さは何cmになるか答えなさい。
\(\displaystyle 1\frac{13}{27}÷1\frac{1}{9}=\frac{4}{3}\)
【答】\(\displaystyle \frac{4}{3}cm\)
(6)底辺が\(\displaystyle 1\frac{3}{4}\)cm、面積が\(\displaystyle 2\frac{1}{10}\)cm\(^2\)の平行四辺形の高さは何cmになるか答えなさい。
\(\displaystyle 2\frac{1}{10}÷1\frac{3}{4}=\frac{6}{5}\)
【答】\(\displaystyle \frac{6}{5}cm\)
(7)\(\displaystyle 6\frac{2}{5}\)ℓのジュースがある。このジュースを\(\displaystyle \frac{4}{15}\)ℓずつ分けてビンにいれると何本できるか答えなさい。
\(\displaystyle 6\frac{2}{5}÷\frac{4}{15}=24\)
【答】\(\displaystyle 24本\)
(8)\(\displaystyle 2\frac{1}{10}\)ℓのガソリンで\(\displaystyle 11\frac{1}{5}\)km走るバイクがある。このバイクは1ℓで何km走ることができるか求めなさい。
\(\displaystyle 11\frac{1}{5}÷2\frac{1}{10}=\frac{16}{3}\)
【答】\(\displaystyle \frac{16}{3}km\)